3001416164 has 24 divisors (see below), whose sum is σ = 5563628280. Its totient is φ = 1411877376.

The previous prime is 3001416163. The next prime is 3001416179. The reversal of 3001416164 is 4616141003.

It can be written as a sum of positive squares in 4 ways, for example, as 1267360000 + 1734056164 = 35600^2 + 41642^2 .

It is not an unprimeable number, because it can be changed into a prime (3001416163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204314 + ... + 218510.

It is an arithmetic number, because the mean of its divisors is an integer number (231817845).

Almost surely, 2^3001416164 is an apocalyptic number.

3001416164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3001416164 is a deficient number, since it is larger than the sum of its proper divisors (2562212116).

3001416164 is a wasteful number, since it uses less digits than its factorization.

3001416164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17327 (or 17325 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3001416164 is about 54785.1819746909. The cubic root of 3001416164 is about 1442.4764748208.

Adding to 3001416164 its reverse (4616141003), we get a palindrome (7617557167).

The spelling of 3001416164 in words is "three billion, one million, four hundred sixteen thousand, one hundred sixty-four".