386728427966976 has 640 divisors, whose sum is σ = 1212690061440000. Its totient is φ = 121507164979200.

The previous prime is 386728427966917. The next prime is 386728427966981. The reversal of 386728427966976 is 679669724827683.

386728427966976 is a `hidden beast` number, since 3 + 8 + 6 + 7 + 2 + 8 + 427 + 96 + 6 + 97 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2818631176 + ... + 2818768376.

It is an arithmetic number, because the mean of its divisors is an integer number (1894828221000).

Almost surely, 2^{386728427966976} is an apocalyptic number.

386728427966976 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 386728427966976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606345030720000).

386728427966976 is an abundant number, since it is smaller than the sum of its proper divisors (825961633473024).

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

386728427966976 is a wasteful number, since it uses less digits than its factorization.

386728427966976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137425 (or 137403 counting only the distinct ones).

The product of its digits is 110612791296, while the sum is 90.

The spelling of 386728427966976 in words is "three hundred eighty-six trillion, seven hundred twenty-eight billion, four hundred twenty-seven million, nine hundred sixty-six thousand, nine hundred seventy-six".