344728224 has 120 divisors (see below), whose sum is σ = 1020872160. Its totient is φ = 114113664.

The previous prime is 344728207. The next prime is 344728231. The reversal of 344728224 is 422827443.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 463597 + ... + 464339.

It is an arithmetic number, because the mean of its divisors is an integer number (8507268).

Almost surely, 2^344728224 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 344728224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510436080).

344728224 is an abundant number, since it is smaller than the sum of its proper divisors (676143936).

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

344728224 is a wasteful number, since it uses less digits than its factorization.

344728224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 927 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 344728224 is about 18566.8582156487. The cubic root of 344728224 is about 701.1736935472.

The spelling of 344728224 in words is "three hundred forty-four million, seven hundred twenty-eight thousand, two hundred twenty-four".