3057493824 has 336 divisors, whose sum is σ = 11296700800. Its totient is φ = 793774080.

The previous prime is 3057493819. The next prime is 3057493837. The reversal of 3057493824 is 4283947503.

3057493824 is a `hidden beast` number, since 30 + 57 + 493 + 82 + 4 = 666.

3057493824 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 3057493824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1462572 + ... + 1464660.

Almost surely, 2^3057493824 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 3057493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5648350400).

3057493824 is an abundant number, since it is smaller than the sum of its proper divisors (8239206976).

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

3057493824 is a wasteful number, since it uses less digits than its factorization.

3057493824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2139 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3057493824 is about 55294.6093575133. The cubic root of 3057493824 is about 1451.4047146583.

The spelling of 3057493824 in words is "three billion, fifty-seven million, four hundred ninety-three thousand, eight hundred twenty-four".