382432619232 has 216 divisors, whose sum is σ = 1167626855304. Its totient is φ = 118637747712.

The previous prime is 382432619227. The next prime is 382432619243. The reversal of 382432619232 is 232916234283.

382432619232 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 3 + 2 + 619 + 23 + 2 = 666.

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, 5603103 + ... + 5670945.

Almost surely, 2^382432619232 is an apocalyptic number.

382432619232 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 382432619232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583813427652).

382432619232 is an abundant number, since it is smaller than the sum of its proper divisors (785194236072).

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

382432619232 is a wasteful number, since it uses less digits than its factorization.

382432619232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67942 (or 67908 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 382432619232 in words is "three hundred eighty-two billion, four hundred thirty-two million, six hundred nineteen thousand, two hundred thirty-two".