3009906117 has 24 divisors (see below), whose sum is σ = 4622543640. Its totient is φ = 1880709120.

The previous prime is 3009906059. The next prime is 3009906121. The reversal of 3009906117 is 7116099003.

3009906117 is a `hidden beast` number, since 30 + 0 + 9 + 9 + 0 + 611 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1602080676 + 1407825441 = 40026^2 + 37521^2 .

It is not a de Polignac number, because 3009906117 - 2¹⁹ = 3009381829 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009906127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942 + ... + 77687.

It is an arithmetic number, because the mean of its divisors is an integer number (192605985).

Almost surely, 2^3009906117 is an apocalyptic number.

It is an amenable number.

3009906117 is a deficient number, since it is larger than the sum of its proper divisors (1612637523).

3009906117 is a wasteful number, since it uses less digits than its factorization.

3009906117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81893 (or 81890 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 3009906117 is about 54862.6112849179. The cubic root of 3009906117 is about 1443.8352810028.

The spelling of 3009906117 in words is "three billion, nine million, nine hundred six thousand, one hundred seventeen".