34405406343617 has 2 divisors, whose sum is σ = 34405406343618. Its totient is φ = 34405406343616.

The previous prime is 34405406343587. The next prime is 34405406343697. The reversal of 34405406343617 is 71634360450443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24518431688881 + 9886974654736 = 4951609^2 + 3144356^2 .

It is a cyclic number.

It is not a de Polignac number, because 34405406343617 - 2¹⁴ = 34405406327233 is a prime.

It is not a weakly prime, because it can be changed into another prime (34405406343697) 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, 17202703171808 + 17202703171809.

It is an arithmetic number, because the mean of its divisors is an integer number (17202703171809).

Almost surely, 2^{34405406343617} is an apocalyptic number.

It is an amenable number.

34405406343617 is a deficient number, since it is larger than the sum of its proper divisors (1).

34405406343617 is an equidigital number, since it uses as much as digits as its factorization.

34405406343617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 50.

The spelling of 34405406343617 in words is "thirty-four trillion, four hundred five billion, four hundred six million, three hundred forty-three thousand, six hundred seventeen".