34916944309761 has 16 divisors (see below), whose sum is σ = 46694554948800. Its totient is φ = 23208689827008.

The previous prime is 34916944309717. The next prime is 34916944309867. The reversal of 34916944309761 is 16790344961943.

It is not a de Polignac number, because 34916944309761 - 2⁶ = 34916944309697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34916944309692 and 34916944309701.

It is not an unprimeable number, because it can be changed into a prime (34916944309561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1830606 + ... + 8554823.

It is an arithmetic number, because the mean of its divisors is an integer number (2918409684300).

Almost surely, 2^{34916944309761} is an apocalyptic number.

It is an amenable number.

34916944309761 is a deficient number, since it is larger than the sum of its proper divisors (11777610639039).

34916944309761 is a wasteful number, since it uses less digits than its factorization.

34916944309761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10388768.

The product of its (nonzero) digits is 105815808, while the sum is 66.

The spelling of 34916944309761 in words is "thirty-four trillion, nine hundred sixteen billion, nine hundred forty-four million, three hundred nine thousand, seven hundred sixty-one".