344457216 has 120 divisors (see below), whose sum is σ = 1008729150. Its totient is φ = 113246208.

The previous prime is 344457199. The next prime is 344457227. The reversal of 344457216 is 612754443.

344457216 is a `hidden beast` number, since 34 + 44 + 572 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 285474816 + 58982400 = 16896^2 + 7680^2 .

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 5 ways as a sum of consecutive naturals, for example, 4718556 + ... + 4718628.

Almost surely, 2^344457216 is an apocalyptic number.

344457216 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 344457216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504364575).

344457216 is an abundant number, since it is smaller than the sum of its proper divisors (664271934).

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

344457216 is an frugal number, since it uses more digits than its factorization.

344457216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 78 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 344457216 is about 18559.5586154413. The cubic root of 344457216 is about 700.9899028733.

The spelling of 344457216 in words is "three hundred forty-four million, four hundred fifty-seven thousand, two hundred sixteen".