3057568920 has 288 divisors, whose sum is σ = 11989429920. Its totient is φ = 661893120.

The previous prime is 3057568909. The next prime is 3057568937. The reversal of 3057568920 is 298657503.

It is a happy number.

3057568920 is a `hidden beast` number, since 30 + 57 + 568 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 908040 + ... + 911400.

It is an arithmetic number, because the mean of its divisors is an integer number (41629965).

Almost surely, 2^3057568920 is an apocalyptic number.

3057568920 is a gapful number since it is divisible by the number (30) 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 3057568920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5994714960).

3057568920 is an abundant number, since it is smaller than the sum of its proper divisors (8931861000).

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

3057568920 is a wasteful number, since it uses less digits than its factorization.

3057568920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3057568920 is about 55295.2884068797. The cubic root of 3057568920 is about 1451.4165973529.

The spelling of 3057568920 in words is "three billion, fifty-seven million, five hundred sixty-eight thousand, nine hundred twenty".