382832640 has 312 divisors, whose sum is σ = 1390242048. Its totient is φ = 97320960.

The previous prime is 382832633. The next prime is 382832641. The reversal of 382832640 is 46238283.

382832640 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 382832595 and 382832604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382832641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713887 + ... + 5713953.

It is an arithmetic number, because the mean of its divisors is an integer number (4455904).

Almost surely, 2^382832640 is an apocalyptic number.

382832640 is a gapful number since it is divisible by the number (30) 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 382832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695121024).

382832640 is an abundant number, since it is smaller than the sum of its proper divisors (1007409408).

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

382832640 is a wasteful number, since it uses less digits than its factorization.

382832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 382832640 is about 19566.1094753147. The cubic root of 382832640 is about 726.1109499627.

The spelling of 382832640 in words is "three hundred eighty-two million, eight hundred thirty-two thousand, six hundred forty".