344401320313 has 16 divisors (see below), whose sum is σ = 357290243280. Its totient is φ = 331581309696.

The previous prime is 344401320287. The next prime is 344401320409. The reversal of 344401320313 is 313023104443.

It can be written as a sum of positive squares in 8 ways, for example, as 2443028329 + 341958291984 = 49427^2 + 584772^2 .

It is a cyclic number.

It is not a de Polignac number, because 344401320313 - 2¹⁷ = 344401189241 is a prime.

It is a super-2 number, since 2×344401320313² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344401327313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14850595 + ... + 14873767.

It is an arithmetic number, because the mean of its divisors is an integer number (22330640205).

Almost surely, 2^344401320313 is an apocalyptic number.

It is an amenable number.

344401320313 is a deficient number, since it is larger than the sum of its proper divisors (12888922967).

344401320313 is a wasteful number, since it uses less digits than its factorization.

344401320313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24636.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 344401320313 its reverse (313023104443), we get a palindrome (657424424756).

The spelling of 344401320313 in words is "three hundred forty-four billion, four hundred one million, three hundred twenty thousand, three hundred thirteen".