34172805349829 has 2 divisors, whose sum is σ = 34172805349830. Its totient is φ = 34172805349828.

The previous prime is 34172805349807. The next prime is 34172805349841. The reversal of 34172805349829 is 92894350827143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33859539021025 + 313266328804 = 5818895^2 + 559702^2 .

It is a cyclic number.

It is not a de Polignac number, because 34172805349829 - 2²⁰ = 34172804301253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34172805349889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17086402674914 + 17086402674915.

It is an arithmetic number, because the mean of its divisors is an integer number (17086402674915).

Almost surely, 2^{34172805349829} is an apocalyptic number.

It is an amenable number.

34172805349829 is a deficient number, since it is larger than the sum of its proper divisors (1).

34172805349829 is an equidigital number, since it uses as much as digits as its factorization.

34172805349829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 104509440, while the sum is 65.

The spelling of 34172805349829 in words is "thirty-four trillion, one hundred seventy-two billion, eight hundred five million, three hundred forty-nine thousand, eight hundred twenty-nine".