386071920 has 200 divisors, whose sum is σ = 1444345056. Its totient is φ = 95012352.

The previous prime is 386071877. The next prime is 386071937. The reversal of 386071920 is 29170683.

386071920 is a `hidden beast` number, since 38 + 607 + 19 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 81949 + ... + 86531.

Almost surely, 2^386071920 is an apocalyptic number.

386071920 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 386071920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722172528).

386071920 is an abundant number, since it is smaller than the sum of its proper divisors (1058273136).

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

386071920 is a wasteful number, since it uses less digits than its factorization.

386071920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4621 (or 4606 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 386071920 is about 19648.7129349482. The cubic root of 386071920 is about 728.1531598214.

The spelling of 386071920 in words is "three hundred eighty-six million, seventy-one thousand, nine hundred twenty".