382696040 has 64 divisors (see below), whose sum is σ = 886833360. Its totient is φ = 148561920.

The previous prime is 382696037. The next prime is 382696063. The reversal of 382696040 is 40696283.

It can be written as a sum of positive squares in 8 ways, for example, as 65642404 + 317053636 = 8102^2 + 17806^2 .

It is a junction number, because it is equal to n+sod(n) for n = 382695985 and 382696003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204710 + ... + 206570.

Almost surely, 2^382696040 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 382696040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443416680).

382696040 is an abundant number, since it is smaller than the sum of its proper divisors (504137320).

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

382696040 is a wasteful number, since it uses less digits than its factorization.

382696040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 382696040 is about 19562.6184341463. The cubic root of 382696040 is about 726.0245775336.

The spelling of 382696040 in words is "three hundred eighty-two million, six hundred ninety-six thousand, forty".