34306334209751 has 2 divisors, whose sum is σ = 34306334209752. Its totient is φ = 34306334209750.

The previous prime is 34306334209709. The next prime is 34306334209753. The reversal of 34306334209751 is 15790243360343.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 34306334209751 - 2³⁸ = 34031456302807 is a prime.

It is a super-2 number, since 2×34306334209751² (a number of 28 digits) contains 22 as substring.

Together with 34306334209753, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34306334209751.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34306334209753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17153167104875 + 17153167104876.

It is an arithmetic number, because the mean of its divisors is an integer number (17153167104876).

Almost surely, 2^{34306334209751} is an apocalyptic number.

34306334209751 is a deficient number, since it is larger than the sum of its proper divisors (1).

34306334209751 is an equidigital number, since it uses as much as digits as its factorization.

34306334209751 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4898880, while the sum is 50.

The spelling of 34306334209751 in words is "thirty-four trillion, three hundred six billion, three hundred thirty-four million, two hundred nine thousand, seven hundred fifty-one".