34134035657 has 2 divisors, whose sum is σ = 34134035658. Its totient is φ = 34134035656.

The previous prime is 34134035549. The next prime is 34134035731. The reversal of 34134035657 is 75653043143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25218710416 + 8915325241 = 158804^2 + 94421^2 .

It is a cyclic number.

It is not a de Polignac number, because 34134035657 - 2³² = 29839068361 is a prime.

It is not a weakly prime, because it can be changed into another prime (34134035057) 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, 17067017828 + 17067017829.

It is an arithmetic number, because the mean of its divisors is an integer number (17067017829).

Almost surely, 2^34134035657 is an apocalyptic number.

It is an amenable number.

34134035657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34134035657 is an equidigital number, since it uses as much as digits as its factorization.

34134035657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 41.

The spelling of 34134035657 in words is "thirty-four billion, one hundred thirty-four million, thirty-five thousand, six hundred fifty-seven".