3057120864 has 144 divisors (see below), whose sum is σ = 10072232352. Its totient is φ = 861456384.

The previous prime is 3057120821. The next prime is 3057120883. The reversal of 3057120864 is 4680217503.

3057120864 is a `hidden beast` number, since 3 + 0 + 571 + 2 + 0 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136782 + ... + 157554.

It is an arithmetic number, because the mean of its divisors is an integer number (69946058).

Almost surely, 2^3057120864 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 3057120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036116176).

3057120864 is an abundant number, since it is smaller than the sum of its proper divisors (7015111488).

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

3057120864 is a wasteful number, since it uses less digits than its factorization.

3057120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20869 (or 20858 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3057120864 is about 55291.2367740133. The cubic root of 3057120864 is about 1451.3456970504.

The spelling of 3057120864 in words is "three billion, fifty-seven million, one hundred twenty thousand, eight hundred sixty-four".