368836224 has 64 divisors (see below), whose sum is σ = 986364480. Its totient is φ = 122112000.

The previous prime is 368836187. The next prime is 368836243. The reversal of 368836224 is 422638863.

368836224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54804 + ... + 61164.

It is an arithmetic number, because the mean of its divisors is an integer number (15411945).

Almost surely, 2^368836224 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 368836224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493182240).

368836224 is an abundant number, since it is smaller than the sum of its proper divisors (617528256).

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

368836224 is a wasteful number, since it uses less digits than its factorization.

368836224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6517 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 368836224 is about 19205.1093201783. The cubic root of 368836224 is about 717.1519589841.

The spelling of 368836224 in words is "three hundred sixty-eight million, eight hundred thirty-six thousand, two hundred twenty-four".