3375823680 has 168 divisors, whose sum is σ = 11771220552. Its totient is φ = 887832576.

The previous prime is 3375823679. The next prime is 3375823687. The reversal of 3375823680 is 863285733.

3375823680 is a `hidden beast` number, since 3 + 3 + 7 + 582 + 3 + 68 + 0 = 666.

3375823680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 363131136 + 3012692544 = 19056^2 + 54888^2 .

It is a super-2 number, since 2×3375823680² = 22792371036897484800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375823687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202212 + ... + 218268.

It is an arithmetic number, because the mean of its divisors is an integer number (70066789).

Almost surely, 2^3375823680 is an apocalyptic number.

3375823680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885610276).

3375823680 is an abundant number, since it is smaller than the sum of its proper divisors (8395396872).

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

3375823680 is a wasteful number, since it uses less digits than its factorization.

3375823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16153 (or 16140 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3375823680 is about 58101.8388693508. The cubic root of 3375823680 is about 1500.1220167410.

The spelling of 3375823680 in words is "three billion, three hundred seventy-five million, eight hundred twenty-three thousand, six hundred eighty".