34504294747729 has 2 divisors, whose sum is σ = 34504294747730. Its totient is φ = 34504294747728.

The previous prime is 34504294747723. The next prime is 34504294747777. The reversal of 34504294747729 is 92774749240543.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28208335567104 + 6295959180625 = 5311152^2 + 2509175^2 .

It is a cyclic number.

It is not a de Polignac number, because 34504294747729 - 2¹⁵ = 34504294714961 is a prime.

It is not a weakly prime, because it can be changed into another prime (34504294747723) 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, 17252147373864 + 17252147373865.

It is an arithmetic number, because the mean of its divisors is an integer number (17252147373865).

Almost surely, 2^{34504294747729} is an apocalyptic number.

It is an amenable number.

34504294747729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34504294747729 is an equidigital number, since it uses as much as digits as its factorization.

34504294747729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 426746880, while the sum is 67.

The spelling of 34504294747729 in words is "thirty-four trillion, five hundred four billion, two hundred ninety-four million, seven hundred forty-seven thousand, seven hundred twenty-nine".