344242320334144 has 112 divisors (see below), whose sum is σ = 708233484264768. Its totient is φ = 165905622908928.

The previous prime is 344242320334079. The next prime is 344242320334177. The reversal of 344242320334144 is 441433023242443.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 344242320334144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90771402 + ... + 94487734.

It is an arithmetic number, because the mean of its divisors is an integer number (6323513252364).

Almost surely, 2^{344242320334144} 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 344242320334144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354116742132384).

344242320334144 is an abundant number, since it is smaller than the sum of its proper divisors (363991163930624).

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

344242320334144 is a wasteful number, since it uses less digits than its factorization.

344242320334144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716832 (or 3716822 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 43.

Adding to 344242320334144 its reverse (441433023242443), we get a palindrome (785675343576587).

The spelling of 344242320334144 in words is "three hundred forty-four trillion, two hundred forty-two billion, three hundred twenty million, three hundred thirty-four thousand, one hundred forty-four".