34801665721 has 2 divisors, whose sum is σ = 34801665722. Its totient is φ = 34801665720.

The previous prime is 34801665659. The next prime is 34801665727. The reversal of 34801665721 is 12756610843.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31728515625 + 3073150096 = 178125^2 + 55436^2 .

It is a cyclic number.

It is not a de Polignac number, because 34801665721 - 2⁷ = 34801665593 is a prime.

It is a super-2 number, since 2×34801665721² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34801665727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17400832860 + 17400832861.

It is an arithmetic number, because the mean of its divisors is an integer number (17400832861).

Almost surely, 2^34801665721 is an apocalyptic number.

It is an amenable number.

34801665721 is a deficient number, since it is larger than the sum of its proper divisors (1).

34801665721 is an equidigital number, since it uses as much as digits as its factorization.

34801665721 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 34801665721 in words is "thirty-four billion, eight hundred one million, six hundred sixty-five thousand, seven hundred twenty-one".