386632800 has 108 divisors (see below), whose sum is σ = 1363389300. Its totient is φ = 103100160.

The previous prime is 386632793. The next prime is 386632801. The reversal of 386632800 is 8236683.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (386632801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19650 + ... + 34049.

It is an arithmetic number, because the mean of its divisors is an integer number (12623975).

Almost surely, 2^386632800 is an apocalyptic number.

386632800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

386632800 is an abundant number, since it is smaller than the sum of its proper divisors (976756500).

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

386632800 is a wasteful number, since it uses less digits than its factorization.

386632800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53725 (or 53709 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 386632800 is about 19662.9804454971. The cubic root of 386632800 is about 728.5056061807.

The spelling of 386632800 in words is "three hundred eighty-six million, six hundred thirty-two thousand, eight hundred".