344941776928 has 96 divisors (see below), whose sum is σ = 803692713600. Its totient is φ = 142590357504.

The previous prime is 344941776923. The next prime is 344941776941. The reversal of 344941776928 is 829677149443.

It is a super-2 number, since 2×344941776928² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 344941776928.

It is not an unprimeable number, because it can be changed into a prime (344941776923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6528151 + ... + 6580777.

It is an arithmetic number, because the mean of its divisors is an integer number (8371799100).

Almost surely, 2^344941776928 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 344941776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401846356800).

344941776928 is an abundant number, since it is smaller than the sum of its proper divisors (458750936672).

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

344941776928 is a wasteful number, since it uses less digits than its factorization.

344941776928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53682 (or 53674 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 64.

The spelling of 344941776928 in words is "three hundred forty-four billion, nine hundred forty-one million, seven hundred seventy-six thousand, nine hundred twenty-eight".