386737920 has 216 divisors, whose sum is σ = 1363143600. Its totient is φ = 101203968.

The previous prime is 386737909. The next prime is 386737937. The reversal of 386737920 is 29737683.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 679396 + ... + 679964.

It is an arithmetic number, because the mean of its divisors is an integer number (6310850).

Almost surely, 2^386737920 is an apocalyptic number.

386737920 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 386737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681571800).

386737920 is an abundant number, since it is smaller than the sum of its proper divisors (976405680).

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

386737920 is a wasteful number, since it uses less digits than its factorization.

386737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 386737920 is about 19665.6533072258. The cubic root of 386737920 is about 728.5716236612.

The spelling of 386737920 in words is "three hundred eighty-six million, seven hundred thirty-seven thousand, nine hundred twenty".