34727955505 has 24 divisors (see below), whose sum is σ = 42757265016. Its totient is φ = 27077790720.

The previous prime is 34727955469. The next prime is 34727955511. The reversal of 34727955505 is 50555972743.

It can be written as a sum of positive squares in 12 ways, for example, as 34592652081 + 135303424 = 185991^2 + 11632^2 .

It is not a de Polignac number, because 34727955505 - 2⁷ = 34727955377 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14732787 + ... + 14735143.

It is an arithmetic number, because the mean of its divisors is an integer number (1781552709).

Almost surely, 2^34727955505 is an apocalyptic number.

It is an amenable number.

34727955505 is a deficient number, since it is larger than the sum of its proper divisors (8029309511).

34727955505 is a wasteful number, since it uses less digits than its factorization.

34727955505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 52.

The spelling of 34727955505 in words is "thirty-four billion, seven hundred twenty-seven million, nine hundred fifty-five thousand, five hundred five".