344131003344 has 80 divisors (see below), whose sum is σ = 909162524160. Its totient is φ = 112135520640.

The previous prime is 344131003303. The next prime is 344131003393. The reversal of 344131003344 is 443300131443.

It is a super-2 number, since 2×344131003344² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12877 + ... + 829715.

It is an arithmetic number, because the mean of its divisors is an integer number (11364531552).

Almost surely, 2^344131003344 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 344131003344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454581262080).

344131003344 is an abundant number, since it is smaller than the sum of its proper divisors (565031520816).

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

344131003344 is a wasteful number, since it uses less digits than its factorization.

344131003344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817048 (or 817042 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 344131003344 its reverse (443300131443), we get a palindrome (787431134787).

The spelling of 344131003344 in words is "three hundred forty-four billion, one hundred thirty-one million, three thousand, three hundred forty-four".