34605834089761 has 12 divisors (see below), whose sum is σ = 38074640442916. Its totient is φ = 31429394219520.

The previous prime is 34605834089753. The next prime is 34605834089767. The reversal of 34605834089761 is 16798043850643.

It can be written as a sum of positive squares in 2 ways, for example, as 15362205886225 + 19243628203536 = 3919465^2 + 4386756^2 .

It is not a de Polignac number, because 34605834089761 - 2³ = 34605834089753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34605834089693 and 34605834089702.

It is not an unprimeable number, because it can be changed into a prime (34605834089767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138306096 + ... + 138556081.

Almost surely, 2^{34605834089761} is an apocalyptic number.

It is an amenable number.

34605834089761 is a deficient number, since it is larger than the sum of its proper divisors (3468806353155).

34605834089761 is a wasteful number, since it uses less digits than its factorization.

34605834089761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276863232 (or 276863221 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 64.

The spelling of 34605834089761 in words is "thirty-four trillion, six hundred five billion, eight hundred thirty-four million, eighty-nine thousand, seven hundred sixty-one".