382636800 has 648 divisors, whose sum is σ = 1706772704. Its totient is φ = 79626240.

The previous prime is 382636781. The next prime is 382636829. The reversal of 382636800 is 8636283.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241564 + ... + 5241636.

Almost surely, 2^382636800 is an apocalyptic number.

382636800 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 382636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853386352).

382636800 is an abundant number, since it is smaller than the sum of its proper divisors (1324135904).

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

382636800 is a wasteful number, since it uses less digits than its factorization.

382636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 103 counting only the distinct ones).

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

The square root of 382636800 is about 19561.1042633078. The cubic root of 382636800 is about 725.9871135841.

The spelling of 382636800 in words is "three hundred eighty-two million, six hundred thirty-six thousand, eight hundred".