3057070968 has 384 divisors, whose sum is σ = 10715328000. Its totient is φ = 766402560.

The previous prime is 3057070903. The next prime is 3057070981. The reversal of 3057070968 is 8690707503.

It is a happy number.

3057070968 is a `hidden beast` number, since 3 + 0 + 570 + 70 + 9 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14488383 + ... + 14488593.

It is an arithmetic number, because the mean of its divisors is an integer number (27904500).

Almost surely, 2^3057070968 is an apocalyptic number.

3057070968 is a gapful number since it is divisible by the number (38) 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 3057070968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5357664000).

3057070968 is an abundant number, since it is smaller than the sum of its proper divisors (7658257032).

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

3057070968 is a wasteful number, since it uses less digits than its factorization.

3057070968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3057070968 is about 55290.7855614297. The cubic root of 3057070968 is about 1451.3378010875.

The spelling of 3057070968 in words is "three billion, fifty-seven million, seventy thousand, nine hundred sixty-eight".