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3425792664 = 233727274007
BaseRepresentation
bin1100110000110001…
…0111001010011000
322211202020022001210
43030030113022120
524004000331124
61323534343120
7150615520500
oct31414271230
98752208053
103425792664
1114a8852808
127b735aaa0
13427986a68
14246da2a00
15150b4ea29
hexcc317298

3425792664 has 96 divisors (see below), whose sum is σ = 9978958080. Its totient is φ = 977207616.

The previous prime is 3425792647. The next prime is 3425792683. The reversal of 3425792664 is 4662975243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852949 + ... + 856955.

It is an arithmetic number, because the mean of its divisors is an integer number (103947480).

Almost surely, 23425792664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425792664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989479040).

3425792664 is an abundant number, since it is smaller than the sum of its proper divisors (6553165416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3425792664 is a wasteful number, since it uses less digits than its factorization.

3425792664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4746 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The square root of 3425792664 is about 58530.2713473977. The cubic root of 3425792664 is about 1507.4874027918.

The spelling of 3425792664 in words is "three billion, four hundred twenty-five million, seven hundred ninety-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 727 1176 1454 2181 2908 4007 4362 5089 5816 8014 8724 10178 12021 15267 16028 17448 20356 24042 28049 30534 32056 35623 40712 48084 56098 61068 71246 84147 96168 106869 112196 122136 142492 168294 196343 213738 224392 284984 336588 392686 427476 589029 673176 785372 854952 1178058 1570744 2356116 2913089 4712232 5826178 8739267 11652356 17478534 20391623 23304712 34957068 40783246 61174869 69914136 81566492 122349738 142741361 163132984 244699476 285482722 428224083 489398952 570965444 856448166 1141930888 1712896332 3425792664