344612672 has 56 divisors (see below), whose sum is σ = 706236840. Its totient is φ = 166717440.

The previous prime is 344612669. The next prime is 344612689. The reversal of 344612672 is 276216443.

It can be written as a sum of positive squares in 4 ways, for example, as 31181056 + 313431616 = 5584^2 + 17704^2 .

It is a congruent number.

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, 636722 + ... + 637262.

Almost surely, 2^344612672 is an apocalyptic number.

344612672 is a gapful number since it is divisible by the number (32) 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 344612672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353118420).

344612672 is an abundant number, since it is smaller than the sum of its proper divisors (361624168).

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

344612672 is a wasteful number, since it uses less digits than its factorization.

344612672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 849 counting only the distinct ones).

The product of its digits is 48384, while the sum is 35.

The square root of 344612672 is about 18563.7461736579. The cubic root of 344612672 is about 701.0953409287.

The spelling of 344612672 in words is "three hundred forty-four million, six hundred twelve thousand, six hundred seventy-two".