386353343363904 has 896 divisors, whose sum is σ = 1333043186892800. Its totient is φ = 107462301972480.

The previous prime is 386353343363893. The next prime is 386353343363971. The reversal of 386353343363904 is 409363343353683.

386353343363904 is a `hidden beast` number, since 3 + 8 + 6 + 3 + 53 + 3 + 433 + 63 + 90 + 4 = 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 127 ways as a sum of consecutive naturals, for example, 19781534619 + ... + 19781554149.

Almost surely, 2^{386353343363904} 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 386353343363904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666521593446400).

386353343363904 is an abundant number, since it is smaller than the sum of its proper divisors (946689843528896).

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

386353343363904 is a wasteful number, since it uses less digits than its factorization.

386353343363904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19928 (or 19912 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 63.

The spelling of 386353343363904 in words is "three hundred eighty-six trillion, three hundred fifty-three billion, three hundred forty-three million, three hundred sixty-three thousand, nine hundred four".