344173675968 has 336 divisors, whose sum is σ = 1082999998080. Its totient is φ = 108186430464.

The previous prime is 344173675961. The next prime is 344173676003. The reversal of 344173675968 is 869576371443.

It is a happy number.

344173675968 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 7 + 36 + 7 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344173675961) 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 47 ways as a sum of consecutive naturals, for example, 19384471 + ... + 19402217.

It is an arithmetic number, because the mean of its divisors is an integer number (3223214280).

Almost surely, 2^344173675968 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 344173675968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541499999040).

344173675968 is an abundant number, since it is smaller than the sum of its proper divisors (738826322112).

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

344173675968 is a wasteful number, since it uses less digits than its factorization.

344173675968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17846 (or 17824 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 344173675968 in words is "three hundred forty-four billion, one hundred seventy-three million, six hundred seventy-five thousand, nine hundred sixty-eight".