344739089664 has 360 divisors, whose sum is σ = 1076363940960. Its totient is φ = 109597888512.

The previous prime is 344739089561. The next prime is 344739089687. The reversal of 344739089664 is 466980937443.

344739089664 is a `hidden beast` number, since 344 + 73 + 90 + 89 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49908099 + ... + 49915005.

It is an arithmetic number, because the mean of its divisors is an integer number (2989899836).

Almost surely, 2^344739089664 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 344739089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538181970480).

344739089664 is an abundant number, since it is smaller than the sum of its proper divisors (731624851296).

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

344739089664 is an equidigital number, since it uses as much as digits as its factorization.

344739089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 344739089664 in words is "three hundred forty-four billion, seven hundred thirty-nine million, eighty-nine thousand, six hundred sixty-four".