3004613157924 has 135 divisors (see below), whose sum is σ = 9137708733153. Its totient is φ = 858398500512.

The previous prime is 3004613157857. The next prime is 3004613158013. The reversal of 3004613157924 is 4297513164003.

The square root of 3004613157924 is 1733382.

It is a perfect power (a square), and thus also a powerful number.

3004613157924 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 613 + 1 + 5 + 7 + 9 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124912764900 + 2879700393024 = 353430^2 + 1696968^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3004613157924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 218399254 + ... + 218413010.

Almost surely, 2^{3004613157924} is an apocalyptic number.

3004613157924 is the 1733382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004613157924

3004613157924 is an abundant number, since it is smaller than the sum of its proper divisors (6133095575229).

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

3004613157924 is an frugal number, since it uses more digits than its factorization.

3004613157924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27544 (or 13769 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 3004613157924 in words is "three trillion, four billion, six hundred thirteen million, one hundred fifty-seven thousand, nine hundred twenty-four".