344808960 has 320 divisors, whose sum is σ = 1237420800. Its totient is φ = 81395712.

The previous prime is 344808931. The next prime is 344808973. The reversal of 344808960 is 69808443.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480571 + ... + 2480709.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^344808960 is an apocalyptic number.

344808960 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 344808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618710400).

344808960 is an abundant number, since it is smaller than the sum of its proper divisors (892611840).

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

344808960 is a wasteful number, since it uses less digits than its factorization.

344808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 344808960 is about 18569.0322849630. The cubic root of 344808960 is about 701.2284280081.

The spelling of 344808960 in words is "three hundred forty-four million, eight hundred eight thousand, nine hundred sixty".