386641920 has 416 divisors, whose sum is σ = 1509765120. Its totient is φ = 82575360.

The previous prime is 386641877. The next prime is 386641961. The reversal of 386641920 is 29146683.

386641920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12472305 + ... + 12472335.

Almost surely, 2^386641920 is an apocalyptic number.

386641920 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 386641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754882560).

386641920 is an abundant number, since it is smaller than the sum of its proper divisors (1123123200).

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

386641920 is a wasteful number, since it uses less digits than its factorization.

386641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 386641920 is about 19663.2123520039. The cubic root of 386641920 is about 728.5113341987.

The spelling of 386641920 in words is "three hundred eighty-six million, six hundred forty-one thousand, nine hundred twenty".