382984632 has 128 divisors (see below), whose sum is σ = 1102881600. Its totient is φ = 123047424.

The previous prime is 382984583. The next prime is 382984681. The reversal of 382984632 is 236489283.

382984632 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 8 + 4 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (382984583) and next prime (382984681).

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 31 ways as a sum of consecutive naturals, for example, 1382478 + ... + 1382754.

Almost surely, 2^382984632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382984632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551440800).

382984632 is an abundant number, since it is smaller than the sum of its proper divisors (719896968).

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

382984632 is a wasteful number, since it uses less digits than its factorization.

382984632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 382984632 is about 19569.9931527837. The cubic root of 382984632 is about 726.2070306359.

The spelling of 382984632 in words is "three hundred eighty-two million, nine hundred eighty-four thousand, six hundred thirty-two".