382906920960 has 624 divisors, whose sum is σ = 1442580572160. Its totient is φ = 93587374080.

The previous prime is 382906920947. The next prime is 382906920997. The reversal of 382906920960 is 69029609283.

382906920960 is a `hidden beast` number, since 38 + 290 + 69 + 209 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 382906920897 and 382906920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108562717 + ... + 108566243.

It is an arithmetic number, because the mean of its divisors is an integer number (2311827840).

Almost surely, 2^382906920960 is an apocalyptic number.

382906920960 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 382906920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721290286080).

382906920960 is an abundant number, since it is smaller than the sum of its proper divisors (1059673651200).

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

382906920960 is a wasteful number, since it uses less digits than its factorization.

382906920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 382906920960 in words is "three hundred eighty-two billion, nine hundred six million, nine hundred twenty thousand, nine hundred sixty".