3225519360 has 576 divisors, whose sum is σ = 13343232000. Its totient is φ = 722608128.

The previous prime is 3225519359. The next prime is 3225519371. The reversal of 3225519360 is 639155223.

3225519360 is a `hidden beast` number, since 32 + 255 + 19 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16208541 + ... + 16208739.

Almost surely, 2^3225519360 is an apocalyptic number.

3225519360 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 3225519360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671616000).

3225519360 is an abundant number, since it is smaller than the sum of its proper divisors (10117712640).

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

3225519360 is a wasteful number, since it uses less digits than its factorization.

3225519360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3225519360 is about 56793.6559837452. The cubic root of 3225519360 is about 1477.5194874907.

It can be divided in two parts, 32255 and 19360, that added together give a palindrome (51615).

The spelling of 3225519360 in words is "three billion, two hundred twenty-five million, five hundred nineteen thousand, three hundred sixty".