3005084160 has 480 divisors, whose sum is σ = 11439267840. Its totient is φ = 724598784.

The previous prime is 3005084149. The next prime is 3005084161. The reversal of 3005084160 is 614805003.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (3005084161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23662017 + ... + 23662143.

It is an arithmetic number, because the mean of its divisors is an integer number (23831808).

Almost surely, 2^3005084160 is an apocalyptic number.

3005084160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5719633920).

3005084160 is an abundant number, since it is smaller than the sum of its proper divisors (8434183680).

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

3005084160 is a wasteful number, since it uses less digits than its factorization.

3005084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3005084160 is about 54818.6479220347. The cubic root of 3005084160 is about 1443.0638468875.

Adding to 3005084160 its reverse (614805003), we get a palindrome (3619889163).

The spelling of 3005084160 in words is "three billion, five million, eighty-four thousand, one hundred sixty".