368239824 has 120 divisors (see below), whose sum is σ = 1093412160. Its totient is φ = 118653120.

The previous prime is 368239801. The next prime is 368239849. The reversal of 368239824 is 428932863.

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

It is a self number, because there is not a number n which added to its sum of digits gives 368239824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414709 + ... + 415595.

It is an arithmetic number, because the mean of its divisors is an integer number (9111768).

Almost surely, 2^368239824 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 368239824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546706080).

368239824 is an abundant number, since it is smaller than the sum of its proper divisors (725172336).

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

368239824 is a wasteful number, since it uses less digits than its factorization.

368239824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 923 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 368239824 is about 19189.5759202750. The cubic root of 368239824 is about 716.7652108468.

The spelling of 368239824 in words is "three hundred sixty-eight million, two hundred thirty-nine thousand, eight hundred twenty-four".