382606977792 has 288 divisors, whose sum is σ = 1113587290368. Its totient is φ = 115914129408.

The previous prime is 382606977743. The next prime is 382606977803. The reversal of 382606977792 is 297779606283.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328982203 + ... + 328983365.

It is an arithmetic number, because the mean of its divisors is an integer number (3866622536).

Almost surely, 2^382606977792 is an apocalyptic number.

382606977792 is a gapful number since it is divisible by the number (32) 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 382606977792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556793645184).

382606977792 is an abundant number, since it is smaller than the sum of its proper divisors (730980312576).

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

382606977792 is a wasteful number, since it uses less digits than its factorization.

382606977792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 66.

The spelling of 382606977792 in words is "three hundred eighty-two billion, six hundred six million, nine hundred seventy-seven thousand, seven hundred ninety-two".