382243276800 has 3024 divisors, whose sum is σ = 1898112106800. Its totient is φ = 75246796800.

The previous prime is 382243276757. The next prime is 382243276841. The reversal of 382243276800 is 8672342283.

382243276800 is a `hidden beast` number, since 382 + 243 + 27 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×382243276800² (a number of 24 digits) contains 22 as substring.

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 251 ways as a sum of consecutive naturals, for example, 20118067191 + ... + 20118067209.

It is an arithmetic number, because the mean of its divisors is an integer number (627682575).

Almost surely, 2^382243276800 is an apocalyptic number.

382243276800 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 382243276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949056053400).

382243276800 is an abundant number, since it is smaller than the sum of its proper divisors (1515868830000).

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

382243276800 is a wasteful number, since it uses less digits than its factorization.

382243276800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 382243276800 in words is "three hundred eighty-two billion, two hundred forty-three million, two hundred seventy-six thousand, eight hundred".