382906180800 has 2016 divisors, whose sum is σ = 1698770271744. Its totient is φ = 83607552000.

The previous prime is 382906180751. The next prime is 382906180823. The reversal of 382906180800 is 8081609283.

382906180800 is a `hidden beast` number, since 3 + 8 + 29 + 0 + 618 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3947486352 + ... + 3947486448.

It is an arithmetic number, because the mean of its divisors is an integer number (842643984).

Almost surely, 2^382906180800 is an apocalyptic number.

382906180800 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 382906180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849385135872).

382906180800 is an abundant number, since it is smaller than the sum of its proper divisors (1315864090944).

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

382906180800 is a wasteful number, since it uses less digits than its factorization.

382906180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 382906180800 in words is "three hundred eighty-two billion, nine hundred six million, one hundred eighty thousand, eight hundred".