386881689600 has 864 divisors, whose sum is σ = 1592881486560. Its totient is φ = 87907368960.

The previous prime is 386881689589. The next prime is 386881689673. The reversal of 386881689600 is 6986188683.

386881689600 is a `hidden beast` number, since 3 + 8 + 6 + 8 + 8 + 16 + 8 + 9 + 600 = 666.

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 71 ways as a sum of consecutive naturals, for example, 893490984 + ... + 893491416.

Almost surely, 2^386881689600 is an apocalyptic number.

386881689600 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 386881689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796440743280).

386881689600 is an abundant number, since it is smaller than the sum of its proper divisors (1205999796960).

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

386881689600 is a wasteful number, since it uses less digits than its factorization.

386881689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 386881689600 in words is "three hundred eighty-six billion, eight hundred eighty-one million, six hundred eighty-nine thousand, six hundred".