344724379680 has 192 divisors, whose sum is σ = 1121381065728. Its totient is φ = 88923770880.

The previous prime is 344724379669. The next prime is 344724379759. The reversal of 344724379680 is 86973427443.

It is a self number, because there is not a number n which added to its sum of digits gives 344724379680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61853374 + ... + 61858946.

It is an arithmetic number, because the mean of its divisors is an integer number (5840526384).

Almost surely, 2^344724379680 is an apocalyptic number.

344724379680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344724379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560690532864).

344724379680 is an abundant number, since it is smaller than the sum of its proper divisors (776656686048).

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

344724379680 is a wasteful number, since it uses less digits than its factorization.

344724379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 57.

The spelling of 344724379680 in words is "three hundred forty-four billion, seven hundred twenty-four million, three hundred seventy-nine thousand, six hundred eighty".