382052352 has 96 divisors (see below), whose sum is σ = 1111350240. Its totient is φ = 115752960.

The previous prime is 382052329. The next prime is 382052357. The reversal of 382052352 is 253250283.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (382052357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64758 + ... + 70410.

It is an arithmetic number, because the mean of its divisors is an integer number (11576565).

Almost surely, 2^382052352 is an apocalyptic number.

382052352 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 382052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555675120).

382052352 is an abundant number, since it is smaller than the sum of its proper divisors (729297888).

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

382052352 is a wasteful number, since it uses less digits than its factorization.

382052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5689 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 382052352 is about 19546.1595204787. The cubic root of 382052352 is about 725.6172955832.

The spelling of 382052352 in words is "three hundred eighty-two million, fifty-two thousand, three hundred fifty-two".