3152585664 has 112 divisors (see below), whose sum is σ = 9282318240. Its totient is φ = 1049241600.

The previous prime is 3152585633. The next prime is 3152585687. The reversal of 3152585664 is 4665852513.

3152585664 is a `hidden beast` number, since 3 + 1 + 5 + 2 + 585 + 6 + 64 = 666.

3152585664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1749564 + ... + 1751364.

Almost surely, 2^3152585664 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 3152585664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4641159120).

3152585664 is an abundant number, since it is smaller than the sum of its proper divisors (6129732576).

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

3152585664 is a wasteful number, since it uses less digits than its factorization.

3152585664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2819 counting only the distinct ones).

The product of its digits is 864000, while the sum is 45.

The square root of 3152585664 is about 56147.8910022451. The cubic root of 3152585664 is about 1466.2981909973.

The spelling of 3152585664 in words is "three billion, one hundred fifty-two million, five hundred eighty-five thousand, six hundred sixty-four".