344939600 has 60 divisors (see below), whose sum is σ = 840140796. Its totient is φ = 136074240.

The previous prime is 344939587. The next prime is 344939603. The reversal of 344939600 is 6939443.

It can be written as a sum of positive squares in 6 ways, for example, as 9024016 + 335915584 = 3004^2 + 18328^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344939603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23294 + ... + 35106.

Almost surely, 2^344939600 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 344939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420070398).

344939600 is an abundant number, since it is smaller than the sum of its proper divisors (495201196).

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

344939600 is a wasteful number, since it uses less digits than its factorization.

344939600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11904 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 344939600 is about 18572.5496364931. The cubic root of 344939600 is about 701.3169764755.

The spelling of 344939600 in words is "three hundred forty-four million, nine hundred thirty-nine thousand, six hundred".