3004768825344 has 1456 divisors, whose sum is σ = 10973652286464. Its totient is φ = 809798860800.

The previous prime is 3004768825319. The next prime is 3004768825363. The reversal of 3004768825344 is 4435288674003.

3004768825344 is a `hidden beast` number, since 3 + 0 + 0 + 47 + 68 + 8 + 2 + 534 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13236866959 + ... + 13236867185.

Almost surely, 2^{3004768825344} 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 3004768825344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486826143232).

3004768825344 is an abundant number, since it is smaller than the sum of its proper divisors (7968883461120).

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

3004768825344 is a wasteful number, since it uses less digits than its factorization.

3004768825344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3004768825344 in words is "three trillion, four billion, seven hundred sixty-eight million, eight hundred twenty-five thousand, three hundred forty-four".