3006060408960 has 1024 divisors, whose sum is σ = 11939158425600. Its totient is φ = 627643514880.

The previous prime is 3006060408907. The next prime is 3006060408961. The reversal of 3006060408960 is 698040606003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3006060408961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2088991921 + ... + 2088993359.

It is an arithmetic number, because the mean of its divisors is an integer number (11659334400).

Almost surely, 2^{3006060408960} is an apocalyptic number.

3006060408960 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 3006060408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969579212800).

3006060408960 is an abundant number, since it is smaller than the sum of its proper divisors (8933098016640).

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

3006060408960 is a wasteful number, since it uses less digits than its factorization.

3006060408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 3006060408960 in words is "three trillion, six billion, sixty million, four hundred eight thousand, nine hundred sixty".