344980320 has 192 divisors, whose sum is σ = 1169634816. Its totient is φ = 85155840.

The previous prime is 344980301. The next prime is 344980333. The reversal of 344980320 is 23089443.

It is a super-2 number, since 2×344980320² = 238022842374604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546405 + ... + 547035.

It is an arithmetic number, because the mean of its divisors is an integer number (6091848).

Almost surely, 2^344980320 is an apocalyptic number.

344980320 is a gapful number since it is divisible by the number (30) 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 344980320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584817408).

344980320 is an abundant number, since it is smaller than the sum of its proper divisors (824654496).

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

344980320 is a wasteful number, since it uses less digits than its factorization.

344980320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 344980320 is about 18573.6458456599. The cubic root of 344980320 is about 701.3445721315.

The spelling of 344980320 in words is "three hundred forty-four million, nine hundred eighty thousand, three hundred twenty".