344253664 has 48 divisors (see below), whose sum is σ = 703609200. Its totient is φ = 165602304.

The previous prime is 344253649. The next prime is 344253733. The reversal of 344253664 is 466352443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379099 + ... + 380005.

It is an arithmetic number, because the mean of its divisors is an integer number (14658525).

Almost surely, 2^344253664 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 344253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351804600).

344253664 is an abundant number, since it is smaller than the sum of its proper divisors (359355536).

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

344253664 is a wasteful number, since it uses less digits than its factorization.

344253664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1347 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

The square root of 344253664 is about 18554.0740539645. The cubic root of 344253664 is about 700.8517957241.

The spelling of 344253664 in words is "three hundred forty-four million, two hundred fifty-three thousand, six hundred sixty-four".