34575629761 has 2 divisors, whose sum is σ = 34575629762. Its totient is φ = 34575629760.

The previous prime is 34575629713. The next prime is 34575629821. The reversal of 34575629761 is 16792657543.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34431029136 + 144600625 = 185556^2 + 12025^2 .

It is a cyclic number.

It is not a de Polignac number, because 34575629761 - 2¹³ = 34575621569 is a prime.

It is not a weakly prime, because it can be changed into another prime (34575629461) 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, 17287814880 + 17287814881.

It is an arithmetic number, because the mean of its divisors is an integer number (17287814881).

Almost surely, 2^34575629761 is an apocalyptic number.

It is an amenable number.

34575629761 is a deficient number, since it is larger than the sum of its proper divisors (1).

34575629761 is an equidigital number, since it uses as much as digits as its factorization.

34575629761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 9525600, while the sum is 55.

The spelling of 34575629761 in words is "thirty-four billion, five hundred seventy-five million, six hundred twenty-nine thousand, seven hundred sixty-one".