3807927120400 has 240 divisors, whose sum is σ = 10185644965888. Its totient is φ = 1358933760000.

The previous prime is 3807927120379. The next prime is 3807927120427. The reversal of 3807927120400 is 40217297083.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28986865 + ... + 29117935.

Almost surely, 2^{3807927120400} 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 3807927120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092822482944).

3807927120400 is an abundant number, since it is smaller than the sum of its proper divisors (6377717845488).

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

3807927120400 is a wasteful number, since it uses less digits than its factorization.

3807927120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131290 (or 131279 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 3807927120400 in words is "three trillion, eight hundred seven billion, nine hundred twenty-seven million, one hundred twenty thousand, four hundred".