34461101729 has 2 divisors, whose sum is σ = 34461101730. Its totient is φ = 34461101728.

The previous prime is 34461101707. The next prime is 34461101747. The reversal of 34461101729 is 92710116443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31593285025 + 2867816704 = 177745^2 + 53552^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-34461101729 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34461101692 and 34461101701.

It is not a weakly prime, because it can be changed into another prime (34461121729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17230550864 + 17230550865.

It is an arithmetic number, because the mean of its divisors is an integer number (17230550865).

Almost surely, 2^34461101729 is an apocalyptic number.

It is an amenable number.

34461101729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34461101729 is an equidigital number, since it uses as much as digits as its factorization.

34461101729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 34461101729 in words is "thirty-four billion, four hundred sixty-one million, one hundred one thousand, seven hundred twenty-nine".