3006165560 has 64 divisors (see below), whose sum is σ = 7220275200. Its totient is φ = 1123113600.

The previous prime is 3006165557. The next prime is 3006165577. The reversal of 3006165560 is 655616003.

3006165560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3006165560² = 18074062748260227200, which contains 22 as substring.

It is a congruent number.

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, 26105 + ... + 81815.

It is an arithmetic number, because the mean of its divisors is an integer number (112816800).

Almost surely, 2^3006165560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610137600).

3006165560 is an abundant number, since it is smaller than the sum of its proper divisors (4214109640).

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

3006165560 is a wasteful number, since it uses less digits than its factorization.

3006165560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55812 (or 55808 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 3006165560 is about 54828.5104667271. The cubic root of 3006165560 is about 1443.2369249123.

The spelling of 3006165560 in words is "three billion, six million, one hundred sixty-five thousand, five hundred sixty".