344664001 has 24 divisors (see below), whose sum is σ = 402292800. Its totient is φ = 292780800.

The previous prime is 344663959. The next prime is 344664031. The reversal of 344664001 is 100466443.

It is a happy number.

It is not a de Polignac number, because 344664001 - 2¹¹ = 344661953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344664031) 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 23 ways as a sum of consecutive naturals, for example, 575100 + ... + 575698.

It is an arithmetic number, because the mean of its divisors is an integer number (16762200).

Almost surely, 2^344664001 is an apocalyptic number.

It is an amenable number.

344664001 is a deficient number, since it is larger than the sum of its proper divisors (57628799).

344664001 is a wasteful number, since it uses less digits than its factorization.

344664001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 344664001 is about 18565.1286286953. The cubic root of 344664001 is about 701.1301478672.

The spelling of 344664001 in words is "three hundred forty-four million, six hundred sixty-four thousand, one".