34400016317 has 2 divisors, whose sum is σ = 34400016318. Its totient is φ = 34400016316.

The previous prime is 34400016289. The next prime is 34400016367. The reversal of 34400016317 is 71361000443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22028793241 + 12371223076 = 148421^2 + 111226^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400016317 - 2²⁰ = 34398967741 is a prime.

It is a super-3 number, since 3×34400016317³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 34400016317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34400016367) 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 as a sum of consecutive naturals, namely, 17200008158 + 17200008159.

It is an arithmetic number, because the mean of its divisors is an integer number (17200008159).

Almost surely, 2^34400016317 is an apocalyptic number.

It is an amenable number.

34400016317 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400016317 is an equidigital number, since it uses as much as digits as its factorization.

34400016317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 34400016317 in words is "thirty-four billion, four hundred million, sixteen thousand, three hundred seventeen".