3004778400624 has 2880 divisors, whose sum is σ = 12735264890880. Its totient is φ = 670602240000.

The previous prime is 3004778400623. The next prime is 3004778400649. The reversal of 3004778400624 is 4260048774003.

It is a self number, because there is not a number n which added to its sum of digits gives 3004778400624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004778400623) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 42320822509 + ... + 42320822579.

It is an arithmetic number, because the mean of its divisors is an integer number (4421966976).

Almost surely, 2^{3004778400624} 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 3004778400624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367632445440).

3004778400624 is an abundant number, since it is smaller than the sum of its proper divisors (9730486490256).

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

3004778400624 is a wasteful number, since it uses less digits than its factorization.

3004778400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 3004778400624 in words is "three trillion, four billion, seven hundred seventy-eight million, four hundred thousand, six hundred twenty-four".