382087233792000 has 1152 divisors, whose sum is σ = 1514259745689600. Its totient is φ = 91897085952000.

The previous prime is 382087233791999. The next prime is 382087233792193. The reversal of 382087233792000 is 297332780283.

382087233792000 is a `hidden beast` number, since 3 + 8 + 20 + 87 + 2 + 337 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3218628646 + ... + 3218747354.

It is an arithmetic number, because the mean of its divisors is an integer number (1314461584800).

Almost surely, 2^{382087233792000} is an apocalyptic number.

382087233792000 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 382087233792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757129872844800).

382087233792000 is an abundant number, since it is smaller than the sum of its proper divisors (1132172511897600).

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

382087233792000 is a wasteful number, since it uses less digits than its factorization.

382087233792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118890 (or 118857 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 382087233792000 in words is "three hundred eighty-two trillion, eighty-seven billion, two hundred thirty-three million, seven hundred ninety-two thousand".