344352320 has 224 divisors, whose sum is σ = 952439040. Its totient is φ = 117596160.

The previous prime is 344352313. The next prime is 344352347. The reversal of 344352320 is 23253443.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 344352320.

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, 5645090 + ... + 5645150.

It is an arithmetic number, because the mean of its divisors is an integer number (4251960).

Almost surely, 2^344352320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476219520).

344352320 is an abundant number, since it is smaller than the sum of its proper divisors (608086720).

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

344352320 is a wasteful number, since it uses less digits than its factorization.

344352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 344352320 is about 18556.7324709928. The cubic root of 344352320 is about 700.9187392196.

The spelling of 344352320 in words is "three hundred forty-four million, three hundred fifty-two thousand, three hundred twenty".