3073397932800 has 972 divisors, whose sum is σ = 12230225777952. Its totient is φ = 731953152000.

The previous prime is 3073397932799. The next prime is 3073397932819. The reversal of 3073397932800 is 82397933703.

3073397932800 is a `hidden beast` number, since 307 + 3 + 3 + 9 + 7 + 9 + 328 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 719594665 + ... + 719598935.

Almost surely, 2^{3073397932800} is an apocalyptic number.

3073397932800 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 3073397932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115112888976).

3073397932800 is an abundant number, since it is smaller than the sum of its proper divisors (9156827845152).

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

3073397932800 is a wasteful number, since it uses less digits than its factorization.

3073397932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 3073397932800 in words is "three trillion, seventy-three billion, three hundred ninety-seven million, nine hundred thirty-two thousand, eight hundred".