34589585961 has 12 divisors (see below), whose sum is σ = 57100268992. Its totient is φ = 19765477656.

The previous prime is 34589585929. The next prime is 34589586023. The reversal of 34589585961 is 16958598543.

34589585961 is a `hidden beast` number, since 3 + 45 + 8 + 9 + 585 + 9 + 6 + 1 = 666.

It is not a de Polignac number, because 34589585961 - 2⁵ = 34589585929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 549041047 = 34589585961 / (3 + 4 + 5 + 8 + 9 + 5 + 8 + 5 + 9 + 6 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34589585911) 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, 274520461 + ... + 274520586.

Almost surely, 2^34589585961 is an apocalyptic number.

It is an amenable number.

34589585961 is a deficient number, since it is larger than the sum of its proper divisors (22510683031).

34589585961 is a wasteful number, since it uses less digits than its factorization.

34589585961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549041060 (or 549041057 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 63.

The spelling of 34589585961 in words is "thirty-four billion, five hundred eighty-nine million, five hundred eighty-five thousand, nine hundred sixty-one".