34140033329 has 2 divisors, whose sum is σ = 34140033330. Its totient is φ = 34140033328.

The previous prime is 34140033253. The next prime is 34140033331. The reversal of 34140033329 is 92333004143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27843928225 + 6296105104 = 166865^2 + 79348^2 .

It is a cyclic number.

It is not a de Polignac number, because 34140033329 - 2²⁸ = 33871597873 is a prime.

Together with 34140033331, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34140033295 and 34140033304.

It is not a weakly prime, because it can be changed into another prime (34140035329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17070016664 + 17070016665.

It is an arithmetic number, because the mean of its divisors is an integer number (17070016665).

Almost surely, 2^34140033329 is an apocalyptic number.

It is an amenable number.

34140033329 is a deficient number, since it is larger than the sum of its proper divisors (1).

34140033329 is an equidigital number, since it uses as much as digits as its factorization.

34140033329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 32.

The spelling of 34140033329 in words is "thirty-four billion, one hundred forty million, thirty-three thousand, three hundred twenty-nine".