344950320 has 480 divisors, whose sum is σ = 1382411520. Its totient is φ = 69949440.

The previous prime is 344950231. The next prime is 344950337. The reversal of 344950320 is 23059443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14997829 + ... + 14997851.

It is an arithmetic number, because the mean of its divisors is an integer number (2880024).

Almost surely, 2^344950320 is an apocalyptic number.

344950320 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 344950320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691205760).

344950320 is an abundant number, since it is smaller than the sum of its proper divisors (1037461200).

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

344950320 is a wasteful number, since it uses less digits than its factorization.

344950320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 344950320 is about 18572.8382322143. The cubic root of 344950320 is about 701.3242415543.

The spelling of 344950320 in words is "three hundred forty-four million, nine hundred fifty thousand, three hundred twenty".