386891656704 has 360 divisors, whose sum is σ = 1301329385928. Its totient is φ = 110333583360.

The previous prime is 386891656691. The next prime is 386891656709. The reversal of 386891656704 is 407656198683.

386891656704 is a `hidden beast` number, since 3 + 8 + 68 + 9 + 1 + 6 + 567 + 0 + 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 not an unprimeable number, because it can be changed into a prime (386891656709) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 152859919 + ... + 152862449.

Almost surely, 2^386891656704 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 386891656704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650664692964).

386891656704 is an abundant number, since it is smaller than the sum of its proper divisors (914437729224).

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

386891656704 is a wasteful number, since it uses less digits than its factorization.

386891656704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3220 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 386891656704 in words is "three hundred eighty-six billion, eight hundred ninety-one million, six hundred fifty-six thousand, seven hundred four".