34257758920709 has 2 divisors, whose sum is σ = 34257758920710. Its totient is φ = 34257758920708.

The previous prime is 34257758920699. The next prime is 34257758920711. The reversal of 34257758920709 is 90702985775243.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30484367200225 + 3773391720484 = 5521265^2 + 1942522^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34257758920709 is a prime.

Together with 34257758920711, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34257758920109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17128879460354 + 17128879460355.

It is an arithmetic number, because the mean of its divisors is an integer number (17128879460355).

Almost surely, 2^{34257758920709} is an apocalyptic number.

It is an amenable number.

34257758920709 is a deficient number, since it is larger than the sum of its proper divisors (1).

34257758920709 is an equidigital number, since it uses as much as digits as its factorization.

34257758920709 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 266716800, while the sum is 68.

The spelling of 34257758920709 in words is "thirty-four trillion, two hundred fifty-seven billion, seven hundred fifty-eight million, nine hundred twenty thousand, seven hundred nine".