386668800 has 486 divisors, whose sum is σ = 1619868978. Its totient is φ = 87736320.

The previous prime is 386668781. The next prime is 386668817. The reversal of 386668800 is 8866683.

It can be written as a sum of positive squares in 3 ways, for example, as 32626944 + 354041856 = 5712^2 + 18816^2 .

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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822332 + ... + 2822468.

Almost surely, 2^386668800 is an apocalyptic number.

386668800 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 386668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809934489).

386668800 is an abundant number, since it is smaller than the sum of its proper divisors (1233200178).

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

386668800 is a wasteful number, since it uses less digits than its factorization.

386668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 386668800 is about 19663.8958500090. The cubic root of 386668800 is about 728.5282162540.

The spelling of 386668800 in words is "three hundred eighty-six million, six hundred sixty-eight thousand, eight hundred".