386488972800 has 1680 divisors, whose sum is σ = 1684865515872. Its totient is φ = 85996339200.

The previous prime is 386488972799. The next prime is 386488972819. The reversal of 386488972800 is 8279884683.

386488972800 is a `hidden beast` number, since 3 + 8 + 6 + 488 + 9 + 72 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3984422352 + ... + 3984422448.

Almost surely, 2^386488972800 is an apocalyptic number.

386488972800 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 386488972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842432757936).

386488972800 is an abundant number, since it is smaller than the sum of its proper divisors (1298376543072).

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

386488972800 is an frugal number, since it uses more digits than its factorization.

386488972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 386488972800 in words is "three hundred eighty-six billion, four hundred eighty-eight million, nine hundred seventy-two thousand, eight hundred".