382597632 has 120 divisors (see below), whose sum is σ = 1119243840. Its totient is φ = 125798400.

The previous prime is 382597601. The next prime is 382597669. The reversal of 382597632 is 236795283.

382597632 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 9 + 7 + 632 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 363507 + ... + 364557.

It is an arithmetic number, because the mean of its divisors is an integer number (9327032).

Almost surely, 2^382597632 is an apocalyptic number.

382597632 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 382597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559621920).

382597632 is an abundant number, since it is smaller than the sum of its proper divisors (736646208).

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

382597632 is a wasteful number, since it uses less digits than its factorization.

382597632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1135 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 382597632 is about 19560.1030672131. The cubic root of 382597632 is about 725.9623412381.

The spelling of 382597632 in words is "three hundred eighty-two million, five hundred ninety-seven thousand, six hundred thirty-two".