386952056400 has 960 divisors, whose sum is σ = 1587318849536. Its totient is φ = 78382080000.

The previous prime is 386952056377. The next prime is 386952056417. The reversal of 386952056400 is 4650259683.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 386952056400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 511164822 + ... + 511165578.

Almost surely, 2^386952056400 is an apocalyptic number.

386952056400 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 386952056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793659424768).

386952056400 is an abundant number, since it is smaller than the sum of its proper divisors (1200366793136).

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

386952056400 is a wasteful number, since it uses less digits than its factorization.

386952056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 386952056400 in words is "three hundred eighty-six billion, nine hundred fifty-two million, fifty-six thousand, four hundred".