344425600 has 96 divisors (see below), whose sum is σ = 874134900. Its totient is φ = 134000640.

The previous prime is 344425591. The next prime is 344425603. The reversal of 344425600 is 6524443.

It can be written as a sum of positive squares in 6 ways, for example, as 267126336 + 77299264 = 16344^2 + 8792^2 .

It is not an unprimeable number, because it can be changed into a prime (344425603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116946 + ... + 119854.

Almost surely, 2^344425600 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 344425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437067450).

344425600 is an abundant number, since it is smaller than the sum of its proper divisors (529709300).

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

344425600 is a wasteful number, since it uses less digits than its factorization.

344425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 344425600 is about 18558.7068515023. The cubic root of 344425600 is about 700.9684554348.

The spelling of 344425600 in words is "three hundred forty-four million, four hundred twenty-five thousand, six hundred".