382345920 has 392 divisors, whose sum is σ = 1499158800. Its totient is φ = 92067840.

The previous prime is 382345919. The next prime is 382345921. The reversal of 382345920 is 29543283.

382345920 is a `hidden beast` number, since 38 + 2 + 34 + 592 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (382345919) and next prime (382345921).

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

It is not an unprimeable number, because it can be changed into a prime (382345921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2566006 + ... + 2566154.

Almost surely, 2^382345920 is an apocalyptic number.

382345920 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 382345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749579400).

382345920 is an abundant number, since it is smaller than the sum of its proper divisors (1116812880).

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

382345920 is a wasteful number, since it uses less digits than its factorization.

382345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 382345920 is about 19553.6676866515. The cubic root of 382345920 is about 725.8031021265.

The spelling of 382345920 in words is "three hundred eighty-two million, three hundred forty-five thousand, nine hundred twenty".