382983224832 has 360 divisors, whose sum is σ = 1224821622024. Its totient is φ = 115090440192.

The previous prime is 382983224821. The next prime is 382983224851. The reversal of 382983224832 is 238422389283.

382983224832 is a `hidden beast` number, since 3 + 82 + 9 + 83 + 2 + 2 + 483 + 2 = 666.

It is a super-2 number, since 2×382983224832² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33480618 + ... + 33492054.

Almost surely, 2^382983224832 is an apocalyptic number.

382983224832 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 382983224832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612410811012).

382983224832 is an abundant number, since it is smaller than the sum of its proper divisors (841838397192).

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

382983224832 is a wasteful number, since it uses less digits than its factorization.

382983224832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11498 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 382983224832 in words is "three hundred eighty-two billion, nine hundred eighty-three million, two hundred twenty-four thousand, eight hundred thirty-two".