386684395776 has 1152 divisors, whose sum is σ = 1476389376000. Its totient is φ = 97175863296.

The previous prime is 386684395751. The next prime is 386684395817. The reversal of 386684395776 is 677593486683.

386684395776 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 8 + 43 + 9 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1097349120) is a multiple of the sum of its prime divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1703455375 + ... + 1703455601.

It is an arithmetic number, because the mean of its divisors is an integer number (1281588000).

Almost surely, 2^386684395776 is an apocalyptic number.

386684395776 is a gapful number since it is divisible by the number (36) 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 386684395776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738194688000).

386684395776 is an abundant number, since it is smaller than the sum of its proper divisors (1089704980224).

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

386684395776 is a wasteful number, since it uses less digits than its factorization.

386684395776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 384 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 386684395776 in words is "three hundred eighty-six billion, six hundred eighty-four million, three hundred ninety-five thousand, seven hundred seventy-six".