386668672 has 64 divisors (see below), whose sum is σ = 878434200. Its totient is φ = 167952384.

The previous prime is 386668651. The next prime is 386668679. The reversal of 386668672 is 276866683.

It can be written as a sum of positive squares in 4 ways, for example, as 351337536 + 35331136 = 18744^2 + 5944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (386668679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21454 + ... + 35122.

Almost surely, 2^386668672 is an apocalyptic number.

386668672 is a gapful number since it is divisible by the number (32) 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 386668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439217100).

386668672 is an abundant number, since it is smaller than the sum of its proper divisors (491765528).

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

386668672 is a wasteful number, since it uses less digits than its factorization.

386668672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13713 (or 13701 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The square root of 386668672 is about 19663.8925953129. The cubic root of 386668672 is about 728.5281358651.

The spelling of 386668672 in words is "three hundred eighty-six million, six hundred sixty-eight thousand, six hundred seventy-two".