382686864 has 180 divisors, whose sum is σ = 1223810064. Its totient is φ = 102724608.

The previous prime is 382686853. The next prime is 382686883. The reversal of 382686864 is 468686283.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 35 ways as a sum of consecutive naturals, for example, 679447 + ... + 680009.

Almost surely, 2^382686864 is an apocalyptic number.

382686864 is a gapful number since it is divisible by the number (34) 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 382686864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611905032).

382686864 is an abundant number, since it is smaller than the sum of its proper divisors (841123200).

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

382686864 is a wasteful number, since it uses less digits than its factorization.

382686864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 592 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 51.

The square root of 382686864 is about 19562.3839038089. The cubic root of 382686864 is about 726.0187747955.

The spelling of 382686864 in words is "three hundred eighty-two million, six hundred eighty-six thousand, eight hundred sixty-four".