382408736 has 36 divisors (see below), whose sum is σ = 766067022. Its totient is φ = 187908864.

The previous prime is 382408729. The next prime is 382408739. The reversal of 382408736 is 637804283.

It can be written as a sum of positive squares in only one way, i.e., 347598736 + 34810000 = 18644^2 + 5900^2 .

It is a junction number, because it is equal to n+sod(n) for n = 382408693 and 382408702.

It is not an unprimeable number, because it can be changed into a prime (382408739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109676 + ... + 113108.

Almost surely, 2^382408736 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 382408736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383033511).

382408736 is an abundant number, since it is smaller than the sum of its proper divisors (383658286).

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

382408736 is an equidigital number, since it uses as much as digits as its factorization.

382408736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 382408736 is about 19555.2738666581. The cubic root of 382408736 is about 725.8428475932.

The spelling of 382408736 in words is "three hundred eighty-two million, four hundred eight thousand, seven hundred thirty-six".