382055032800 has 720 divisors, whose sum is σ = 1614883640832. Its totient is φ = 86089651200.

The previous prime is 382055032759. The next prime is 382055032819. The reversal of 382055032800 is 8230550283.

382055032800 is a `hidden beast` number, since 3 + 8 + 20 + 550 + 3 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32199669 + ... + 32211531.

Almost surely, 2^382055032800 is an apocalyptic number.

382055032800 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 382055032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807441820416).

382055032800 is an abundant number, since it is smaller than the sum of its proper divisors (1232828608032).

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

382055032800 is a wasteful number, since it uses less digits than its factorization.

382055032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11973 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 382055032800 in words is "three hundred eighty-two billion, fifty-five million, thirty-two thousand, eight hundred".