386672000 has 256 divisors, whose sum is σ = 1136116800. Its totient is φ = 129792000.

The previous prime is 386671997. The next prime is 386672053. The reversal of 386672000 is 276683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29743994 + ... + 29744006.

Almost surely, 2^386672000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 386672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568058400).

386672000 is an abundant number, since it is smaller than the sum of its proper divisors (749444800).

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

386672000 is an equidigital number, since it uses as much as digits as its factorization.

386672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 386672000 is about 19663.9772172366. The cubic root of 386672000 is about 728.5302259704.

The spelling of 386672000 in words is "three hundred eighty-six million, six hundred seventy-two thousand".