3057490800 has 1200 divisors, whose sum is σ = 14534194752. Its totient is φ = 597196800.

The previous prime is 3057490789. The next prime is 3057490841. The reversal of 3057490800 is 80947503.

3057490800 is a `hidden beast` number, since 3 + 0 + 574 + 9 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 50122770 + ... + 50122830.

Almost surely, 2^3057490800 is an apocalyptic number.

3057490800 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 3057490800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267097376).

3057490800 is an abundant number, since it is smaller than the sum of its proper divisors (11476703952).

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

3057490800 is a wasteful number, since it uses less digits than its factorization.

3057490800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3057490800 is about 55294.5820130689. The cubic root of 3057490800 is about 1451.4042361564.

The spelling of 3057490800 in words is "three billion, fifty-seven million, four hundred ninety thousand, eight hundred".