382918536 has 576 divisors, whose sum is σ = 1528329600. Its totient is φ = 87816960.

The previous prime is 382918517. The next prime is 382918579. The reversal of 382918536 is 635819283.

It is a happy number.

382918536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 382918491 and 382918500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16648621 + ... + 16648643.

It is an arithmetic number, because the mean of its divisors is an integer number (2653350).

Almost surely, 2^382918536 is an apocalyptic number.

382918536 is a gapful number since it is divisible by the number (36) 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 382918536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764164800).

382918536 is an abundant number, since it is smaller than the sum of its proper divisors (1145411064).

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

382918536 is a wasteful number, since it uses less digits than its factorization.

382918536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 382918536 is about 19568.3043721218. The cubic root of 382918536 is about 726.1652516389.

The spelling of 382918536 in words is "three hundred eighty-two million, nine hundred eighteen thousand, five hundred thirty-six".