34371004667729 has 2 divisors, whose sum is σ = 34371004667730. Its totient is φ = 34371004667728.

The previous prime is 34371004667717. The next prime is 34371004667789. The reversal of 34371004667729 is 92776640017343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32162282592400 + 2208722075329 = 5671180^2 + 1486177^2 .

It is an emirp because it is prime and its reverse (92776640017343) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34371004667729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34371004667789) 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, 17185502333864 + 17185502333865.

It is an arithmetic number, because the mean of its divisors is an integer number (17185502333865).

Almost surely, 2^{34371004667729} is an apocalyptic number.

It is an amenable number.

34371004667729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34371004667729 is an equidigital number, since it uses as much as digits as its factorization.

34371004667729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32006016, while the sum is 59.

The spelling of 34371004667729 in words is "thirty-four trillion, three hundred seventy-one billion, four million, six hundred sixty-seven thousand, seven hundred twenty-nine".