344885309503744 has 81 divisors (see below), whose sum is σ = 691134459282939. Its totient is φ = 171766221442560.

The previous prime is 344885309503739. The next prime is 344885309503759. The reversal of 344885309503744 is 447305903588443.

The square root of 344885309503744 is 18571088.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×344885309503744² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 344885309503744.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 80524235427 + ... + 80524239709.

Almost surely, 2^{344885309503744} is an apocalyptic number.

344885309503744 is the 18571088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344885309503744

344885309503744 is an abundant number, since it is smaller than the sum of its proper divisors (346249149779195).

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

344885309503744 is an frugal number, since it uses more digits than its factorization.

344885309503744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124 (or 4556 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 67.

The spelling of 344885309503744 in words is "three hundred forty-four trillion, eight hundred eighty-five billion, three hundred nine million, five hundred three thousand, seven hundred forty-four".