382634496 has 160 divisors (see below), whose sum is σ = 1149033600. Its totient is φ = 125706240.

The previous prime is 382634491. The next prime is 382634503. The reversal of 382634496 is 694436283.

382634496 is a `hidden beast` number, since 3 + 8 + 2 + 634 + 4 + 9 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382634491) 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 15 ways as a sum of consecutive naturals, for example, 1230181 + ... + 1230491.

It is an arithmetic number, because the mean of its divisors is an integer number (7181460).

Almost surely, 2^382634496 is an apocalyptic number.

382634496 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 382634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574516800).

382634496 is an abundant number, since it is smaller than the sum of its proper divisors (766399104).

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

382634496 is an equidigital number, since it uses as much as digits as its factorization.

382634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 405 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 382634496 is about 19561.0453708384. The cubic root of 382634496 is about 725.9856564341.

The spelling of 382634496 in words is "three hundred eighty-two million, six hundred thirty-four thousand, four hundred ninety-six".