3072813638400 has 648 divisors, whose sum is σ = 12615554427840. Its totient is φ = 705715200000.

The previous prime is 3072813638371. The next prime is 3072813638417. The reversal of 3072813638400 is 48363182703.

3072813638400 is a `hidden beast` number, since 3 + 0 + 7 + 2 + 8 + 1 + 3 + 638 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11910775 + ... + 12166025.

Almost surely, 2^{3072813638400} is an apocalyptic number.

3072813638400 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 3072813638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307777213920).

3072813638400 is an abundant number, since it is smaller than the sum of its proper divisors (9542740789440).

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

3072813638400 is a wasteful number, since it uses less digits than its factorization.

3072813638400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255313 (or 255291 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3072813638400 in words is "three trillion, seventy-two billion, eight hundred thirteen million, six hundred thirty-eight thousand, four hundred".