34440322400017 has 2 divisors, whose sum is σ = 34440322400018. Its totient is φ = 34440322400016.

The previous prime is 34440322399963. The next prime is 34440322400021. The reversal of 34440322400017 is 71000422304443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17945060017921 + 16495262382096 = 4236161^2 + 4061436^2 .

It is an emirp because it is prime and its reverse (71000422304443) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34440322400017 is a prime.

It is a super-2 number, since 2×34440322400017² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34440322400027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17220161200008 + 17220161200009.

It is an arithmetic number, because the mean of its divisors is an integer number (17220161200009).

Almost surely, 2^{34440322400017} is an apocalyptic number.

It is an amenable number.

34440322400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

34440322400017 is an equidigital number, since it uses as much as digits as its factorization.

34440322400017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 34.

The spelling of 34440322400017 in words is "thirty-four trillion, four hundred forty billion, three hundred twenty-two million, four hundred thousand, seventeen".