34784248729 has 2 divisors, whose sum is σ = 34784248730. Its totient is φ = 34784248728.

The previous prime is 34784248717. The next prime is 34784248757. The reversal of 34784248729 is 92784248743.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31338558729 + 3445690000 = 177027^2 + 58700^2 .

It is an emirp because it is prime and its reverse (92784248743) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34784248729 - 2¹³ = 34784240537 is a prime.

It is not a weakly prime, because it can be changed into another prime (34784248769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17392124364 + 17392124365.

It is an arithmetic number, because the mean of its divisors is an integer number (17392124365).

Almost surely, 2^34784248729 is an apocalyptic number.

It is an amenable number.

34784248729 is a deficient number, since it is larger than the sum of its proper divisors (1).

34784248729 is an equidigital number, since it uses as much as digits as its factorization.

34784248729 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 21676032, while the sum is 58.

The spelling of 34784248729 in words is "thirty-four billion, seven hundred eighty-four million, two hundred forty-eight thousand, seven hundred twenty-nine".