344257664 has 32 divisors (see below), whose sum is σ = 691924140. Its totient is φ = 170598400.

The previous prime is 344257663. The next prime is 344257679. The reversal of 344257664 is 466752443.

It can be written as a sum of positive squares in 2 ways, for example, as 331240000 + 13017664 = 18200^2 + 3608^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (344257663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2564 + ... + 26364.

Almost surely, 2^344257664 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 344257664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345962070).

344257664 is an abundant number, since it is smaller than the sum of its proper divisors (347666476).

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

344257664 is a wasteful number, since it uses less digits than its factorization.

344257664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23928 (or 23916 counting only the distinct ones).

The product of its digits is 483840, while the sum is 41.

The square root of 344257664 is about 18554.1818466889. The cubic root of 344257664 is about 700.8545101918.

The spelling of 344257664 in words is "three hundred forty-four million, two hundred fifty-seven thousand, six hundred sixty-four".