382313664 has 84 divisors (see below), whose sum is σ = 1099328256. Its totient is φ = 127031808.

The previous prime is 382313639. The next prime is 382313671. The reversal of 382313664 is 466313283.

It is a super-2 number, since 2×382313664² = 292327475362209792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 219742 + ... + 221474.

Almost surely, 2^382313664 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 382313664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549664128).

382313664 is an abundant number, since it is smaller than the sum of its proper divisors (717014592).

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

382313664 is a wasteful number, since it uses less digits than its factorization.

382313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2121 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 382313664 is about 19552.8428623564. The cubic root of 382313664 is about 725.7826911478.

The spelling of 382313664 in words is "three hundred eighty-two million, three hundred thirteen thousand, six hundred sixty-four".