3281925360 has 640 divisors, whose sum is σ = 12959170560. Its totient is φ = 670924800.

The previous prime is 3281925343. The next prime is 3281925379. The reversal of 3281925360 is 635291823.

3281925360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3281925360² = 21542068137222259200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61923094 + ... + 61923146.

It is an arithmetic number, because the mean of its divisors is an integer number (20248704).

Almost surely, 2^3281925360 is an apocalyptic number.

3281925360 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 3281925360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479585280).

3281925360 is an abundant number, since it is smaller than the sum of its proper divisors (9677245200).

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

3281925360 is a wasteful number, since it uses less digits than its factorization.

3281925360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 3281925360 is about 57288.0909090188. The cubic root of 3281925360 is about 1486.0824313463.

The spelling of 3281925360 in words is "three billion, two hundred eighty-one million, nine hundred twenty-five thousand, three hundred sixty".