34594884009 has 81 divisors (see below), whose sum is σ = 61868046981. Its totient is φ = 18569940480.

The previous prime is 34594883971. The next prime is 34594884047. The reversal of 34594884009 is 90048849543.

The square root of 34594884009 is 185997.

It is a perfect power (a square), and thus also a powerful number.

34594884009 is a `hidden beast` number, since 3 + 4 + 594 + 8 + 8 + 40 + 0 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (34594883971) and next prime (34594884047).

It can be written as a sum of positive squares in 4 ways, for example, as 195021225 + 34399862784 = 13965^2 + 185472^2 .

It is not a de Polignac number, because 34594884009 - 2¹³ = 34594875817 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34594884089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 66400669 + ... + 66401189.

Almost surely, 2^34594884009 is an apocalyptic number.

34594884009 is the 185997-th square number.

34594884009 is the 92999-th centered octagonal number.

It is an amenable number.

34594884009 is a deficient number, since it is larger than the sum of its proper divisors (27273162972).

34594884009 is an equidigital number, since it uses as much as digits as its factorization.

34594884009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 34594884009 in words is "thirty-four billion, five hundred ninety-four million, eight hundred eighty-four thousand, nine".