3066000960 has 224 divisors, whose sum is σ = 10680192000. Its totient is φ = 739031040.

The previous prime is 3066000943. The next prime is 3066000997. The reversal of 3066000960 is 690006603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100711 + ... + 2102169.

Almost surely, 2^3066000960 is an apocalyptic number.

3066000960 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 3066000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340096000).

3066000960 is an abundant number, since it is smaller than the sum of its proper divisors (7614191040).

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

3066000960 is a wasteful number, since it uses less digits than its factorization.

3066000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3066000960 is about 55371.4814683516. The cubic root of 3066000960 is about 1452.7495920881.

The spelling of 3066000960 in words is "three billion, sixty-six million, nine hundred sixty", and thus it is an aban number.