386631168000 has 1248 divisors, whose sum is σ = 1636151332608. Its totient is φ = 80166912000.

The previous prime is 386631167971. The next prime is 386631168031. The reversal of 386631168000 is 861136683.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 827903767 + ... + 827904233.

It is an arithmetic number, because the mean of its divisors is an integer number (1311018696).

Almost surely, 2^386631168000 is an apocalyptic number.

386631168000 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 386631168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (818075666304).

386631168000 is an abundant number, since it is smaller than the sum of its proper divisors (1249520164608).

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

386631168000 is a wasteful number, since it uses less digits than its factorization.

386631168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 386631168000 in words is "three hundred eighty-six billion, six hundred thirty-one million, one hundred sixty-eight thousand".