386979360 has 96 divisors (see below), whose sum is σ = 1247400000. Its totient is φ = 100789248.

The previous prime is 386979319. The next prime is 386979389. The reversal of 386979360 is 63979683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 11266 + ... + 30014.

It is an arithmetic number, because the mean of its divisors is an integer number (12993750).

Almost surely, 2^386979360 is an apocalyptic number.

386979360 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 386979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623700000).

386979360 is an abundant number, since it is smaller than the sum of its proper divisors (860420640).

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

386979360 is a wasteful number, since it uses less digits than its factorization.

386979360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18810 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 386979360 is about 19671.7909708293. The cubic root of 386979360 is about 728.7232075723.

The spelling of 386979360 in words is "three hundred eighty-six million, nine hundred seventy-nine thousand, three hundred sixty".