386881185600 has 2016 divisors, whose sum is σ = 1872971372160. Its totient is φ = 76733153280.

The previous prime is 386881185577. The next prime is 386881185611. The reversal of 386881185600 is 6581188683.

386881185600 is a `hidden beast` number, since 3 + 8 + 68 + 8 + 1 + 18 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 467812387 + ... + 467813213.

It is an arithmetic number, because the mean of its divisors is an integer number (929053260).

Almost surely, 2^386881185600 is an apocalyptic number.

386881185600 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 386881185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936485686080).

386881185600 is an abundant number, since it is smaller than the sum of its proper divisors (1486090186560).

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

386881185600 is a wasteful number, since it uses less digits than its factorization.

386881185600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 386881185600 in words is "three hundred eighty-six billion, eight hundred eighty-one million, one hundred eighty-five thousand, six hundred".