382035968 has 48 divisors (see below), whose sum is σ = 808893540. Its totient is φ = 179765248.

The previous prime is 382035949. The next prime is 382036007. The reversal of 382035968 is 869530283.

It can be written as a sum of positive squares in 2 ways, for example, as 369869824 + 12166144 = 19232^2 + 3488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29330 + ... + 40302.

Almost surely, 2^382035968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382035968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404446770).

382035968 is an abundant number, since it is smaller than the sum of its proper divisors (426857572).

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

382035968 is a wasteful number, since it uses less digits than its factorization.

382035968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11012 (or 10992 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 382035968 is about 19545.7404055206. The cubic root of 382035968 is about 725.6069229351.

The spelling of 382035968 in words is "three hundred eighty-two million, thirty-five thousand, nine hundred sixty-eight".