382979589120 has 1056 divisors, whose sum is σ = 1454008008960. Its totient is φ = 92897280000.

The previous prime is 382979589071. The next prime is 382979589131. The reversal of 382979589120 is 21985979283.

382979589120 is a `hidden beast` number, since 3 + 8 + 29 + 7 + 9 + 589 + 1 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3791877070 + ... + 3791877170.

Almost surely, 2^382979589120 is an apocalyptic number.

382979589120 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 382979589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727004004480).

382979589120 is an abundant number, since it is smaller than the sum of its proper divisors (1071028419840).

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

382979589120 is a wasteful number, since it uses less digits than its factorization.

382979589120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 382979589120 in words is "three hundred eighty-two billion, nine hundred seventy-nine million, five hundred eighty-nine thousand, one hundred twenty".