34117335337 has 2 divisors, whose sum is σ = 34117335338. Its totient is φ = 34117335336.

The previous prime is 34117335311. The next prime is 34117335349. The reversal of 34117335337 is 73353371143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18527565456 + 15589769881 = 136116^2 + 124859^2 .

It is a cyclic number.

It is not a de Polignac number, because 34117335337 - 2¹⁹ = 34116811049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34117335337.

It is not a weakly prime, because it can be changed into another prime (34117335397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17058667668 + 17058667669.

It is an arithmetic number, because the mean of its divisors is an integer number (17058667669).

Almost surely, 2^34117335337 is an apocalyptic number.

It is an amenable number.

34117335337 is a deficient number, since it is larger than the sum of its proper divisors (1).

34117335337 is an equidigital number, since it uses as much as digits as its factorization.

34117335337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 238140, while the sum is 40.

The spelling of 34117335337 in words is "thirty-four billion, one hundred seventeen million, three hundred thirty-five thousand, three hundred thirty-seven".