382109952 has 288 divisors, whose sum is σ = 1275063552. Its totient is φ = 99090432.

The previous prime is 382109939. The next prime is 382109957. The reversal of 382109952 is 259901283.

It is a self number, because there is not a number n which added to its sum of digits gives 382109952.

It is not an unprimeable number, because it can be changed into a prime (382109957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3381448 + ... + 3381560.

It is an arithmetic number, because the mean of its divisors is an integer number (4427304).

Almost surely, 2^382109952 is an apocalyptic number.

382109952 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 382109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637531776).

382109952 is an abundant number, since it is smaller than the sum of its proper divisors (892953600).

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

382109952 is a wasteful number, since it uses less digits than its factorization.

382109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 382109952 is about 19547.6329001749. The cubic root of 382109952 is about 725.6537595701.

The spelling of 382109952 in words is "three hundred eighty-two million, one hundred nine thousand, nine hundred fifty-two".