34892774510729 has 2 divisors, whose sum is σ = 34892774510730. Its totient is φ = 34892774510728.

The previous prime is 34892774510681. The next prime is 34892774510777. The reversal of 34892774510729 is 92701547729843.

It is a balanced prime because it is at equal distance from previous prime (34892774510681) and next prime (34892774510777).

It can be written as a sum of positive squares in only one way, i.e., 34888833182329 + 3941328400 = 5906677^2 + 62780^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34892774510729 is a prime.

It is a super-2 number, since 2×34892774510729² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34892774510929) 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, 17446387255364 + 17446387255365.

It is an arithmetic number, because the mean of its divisors is an integer number (17446387255365).

Almost surely, 2^{34892774510729} is an apocalyptic number.

It is an amenable number.

34892774510729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34892774510729 is an equidigital number, since it uses as much as digits as its factorization.

34892774510729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 213373440, while the sum is 68.

The spelling of 34892774510729 in words is "thirty-four trillion, eight hundred ninety-two billion, seven hundred seventy-four million, five hundred ten thousand, seven hundred twenty-nine".