344758039921 has 9 divisors (see below), whose sum is σ = 353396540449. Its totient is φ = 336325820800.

The previous prime is 344758039889. The next prime is 344758039961. The reversal of 344758039921 is 129930857443.

The square root of 344758039921 is 587161.

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

It can be written as a sum of positive squares in 4 ways, for example, as 309037039921 + 35721000000 = 555911^2 + 189000^2 .

It is not a de Polignac number, because 344758039921 - 2⁵ = 344758039889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344758039961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24066441 + ... + 24080761.

Almost surely, 2^344758039921 is an apocalyptic number.

344758039921 is the 587161-st square number.

344758039921 is the 293581-st centered octagonal number.

It is an amenable number.

344758039921 is a deficient number, since it is larger than the sum of its proper divisors (8638500528).

344758039921 is an frugal number, since it uses more digits than its factorization.

344758039921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28724 (or 14362 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 55.

The spelling of 344758039921 in words is "three hundred forty-four billion, seven hundred fifty-eight million, thirty-nine thousand, nine hundred twenty-one".