34988816657 has 2 divisors, whose sum is σ = 34988816658. Its totient is φ = 34988816656.

The previous prime is 34988816633. The next prime is 34988816659. The reversal of 34988816657 is 75661888943.

34988816657 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29793866881 + 5194949776 = 172609^2 + 72076^2 .

It is a cyclic number.

It is not a de Polignac number, because 34988816657 - 2²² = 34984622353 is a prime.

Together with 34988816659, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 34988816593 and 34988816602.

It is not a weakly prime, because it can be changed into another prime (34988816659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17494408328 + 17494408329.

It is an arithmetic number, because the mean of its divisors is an integer number (17494408329).

Almost surely, 2^34988816657 is an apocalyptic number.

It is an amenable number.

34988816657 is a deficient number, since it is larger than the sum of its proper divisors (1).

34988816657 is an equidigital number, since it uses as much as digits as its factorization.

34988816657 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69672960, while the sum is 65.

The spelling of 34988816657 in words is "thirty-four billion, nine hundred eighty-eight million, eight hundred sixteen thousand, six hundred fifty-seven".