3006417137164 has 48 divisors (see below), whose sum is σ = 6370488855360. Its totient is φ = 1211918469120.

The previous prime is 3006417137159. The next prime is 3006417137189. The reversal of 3006417137164 is 4617317146003.

It is a self number, because there is not a number n which added to its sum of digits gives 3006417137164.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196827 + ... + 2728594.

It is an arithmetic number, because the mean of its divisors is an integer number (132718517820).

Almost surely, 2^{3006417137164} is an apocalyptic number.

3006417137164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3006417137164 is an abundant number, since it is smaller than the sum of its proper divisors (3364071718196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3006417137164 is a wasteful number, since it uses less digits than its factorization.

3006417137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927058 (or 3927056 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 3006417137164 in words is "three trillion, six billion, four hundred seventeen million, one hundred thirty-seven thousand, one hundred sixty-four".