386935920 has 320 divisors, whose sum is σ = 1542282240. Its totient is φ = 87340032.

The previous prime is 386935909. The next prime is 386935943. The reversal of 386935920 is 29539683.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 2373759 + ... + 2373921.

It is an arithmetic number, because the mean of its divisors is an integer number (4819632).

Almost surely, 2^386935920 is an apocalyptic number.

386935920 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 386935920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771141120).

386935920 is an abundant number, since it is smaller than the sum of its proper divisors (1155346320).

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

386935920 is a wasteful number, since it uses less digits than its factorization.

386935920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 386935920 is about 19670.6868207493. The cubic root of 386935920 is about 728.6959391751.

The spelling of 386935920 in words is "three hundred eighty-six million, nine hundred thirty-five thousand, nine hundred twenty".