344396431842241 has 3 divisors (see below), whose sum is σ = 344396450400163. Its totient is φ = 344396413284320.

The previous prime is 344396431842121. The next prime is 344396431842317. The reversal of 344396431842241 is 142248134693443.

The square root of 344396431842241 is 18557921.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 68998424027841 + 275398007814400 = 8306529^2 + 16595120^2 .

It is not a de Polignac number, because 344396431842241 - 2³³ = 344387841907649 is a prime.

It is a super-2 number, since 2×344396431842241² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344396431842641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 9278961 + ... + 27836881.

Almost surely, 2^{344396431842241} is an apocalyptic number.

344396431842241 is the 18557921-st square number.

344396431842241 is the 9278961-st centered octagonal number.

It is an amenable number.

344396431842241 is a deficient number, since it is larger than the sum of its proper divisors (18557922).

344396431842241 is an frugal number, since it uses more digits than its factorization.

344396431842241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37115842 (or 18557921 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 58.

The spelling of 344396431842241 in words is "three hundred forty-four trillion, three hundred ninety-six billion, four hundred thirty-one million, eight hundred forty-two thousand, two hundred forty-one".