3257032090752 has 256 divisors, whose sum is σ = 10588481280000. Its totient is φ = 977395921920.

The previous prime is 3257032090747. The next prime is 3257032090759. The reversal of 3257032090752 is 2570902307523.

3257032090752 is a `hidden beast` number, since 3 + 2 + 570 + 3 + 2 + 0 + 9 + 0 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3257032090698 and 3257032090707.

It is not an unprimeable number, because it can be changed into a prime (3257032090759) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3499749 + ... + 4331547.

It is an arithmetic number, because the mean of its divisors is an integer number (41361255000).

Almost surely, 2^{3257032090752} is an apocalyptic number.

3257032090752 is a gapful number since it is divisible by the number (32) 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 3257032090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5294240640000).

3257032090752 is an abundant number, since it is smaller than the sum of its proper divisors (7331449189248).

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

3257032090752 is a wasteful number, since it uses less digits than its factorization.

3257032090752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831936 (or 831918 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 3257032090752 in words is "three trillion, two hundred fifty-seven billion, thirty-two million, ninety thousand, seven hundred fifty-two".