3006663120 has 120 divisors (see below), whose sum is σ = 10107752616. Its totient is φ = 800953344.

The previous prime is 3006663091. The next prime is 3006663139. The reversal of 3006663120 is 213666003.

It can be written as a sum of positive squares in 4 ways, for example, as 1121714064 + 1884949056 = 33492^2 + 43416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1073562 + ... + 1076358.

Almost surely, 2^3006663120 is an apocalyptic number.

3006663120 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 3006663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053876308).

3006663120 is an abundant number, since it is smaller than the sum of its proper divisors (7101089496).

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

3006663120 is a wasteful number, since it uses less digits than its factorization.

3006663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3006663120 is about 54833.0476993574. The cubic root of 3006663120 is about 1443.3165454273.

The spelling of 3006663120 in words is "three billion, six million, six hundred sixty-three thousand, one hundred twenty".