3257183664 has 420 divisors, whose sum is σ = 11356226280. Its totient is φ = 901393920.

The previous prime is 3257183659. The next prime is 3257183687. The reversal of 3257183664 is 4663817523.

Its product of digits (725760) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23432907 + ... + 23433045.

It is an arithmetic number, because the mean of its divisors is an integer number (27038634).

Almost surely, 2^3257183664 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 3257183664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678113140).

3257183664 is an abundant number, since it is smaller than the sum of its proper divisors (8099042616).

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

3257183664 is a wasteful number, since it uses less digits than its factorization.

3257183664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

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

The square root of 3257183664 is about 57071.7413787244. The cubic root of 3257183664 is about 1482.3385939788.

The spelling of 3257183664 in words is "three billion, two hundred fifty-seven million, one hundred eighty-three thousand, six hundred sixty-four".