3006649008 has 360 divisors, whose sum is σ = 9923839536. Its totient is φ = 841881600.

The previous prime is 3006649007. The next prime is 3006649043. The reversal of 3006649008 is 8009466003.

3006649008 is a `hidden beast` number, since 3 + 0 + 0 + 6 + 649 + 0 + 0 + 8 = 666.

3006649008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3006649007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49289298 + ... + 49289358.

Almost surely, 2^3006649008 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 3006649008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4961919768).

3006649008 is an abundant number, since it is smaller than the sum of its proper divisors (6917190528).

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

3006649008 is a wasteful number, since it uses less digits than its factorization.

3006649008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3006649008 is about 54832.9190176850. The cubic root of 3006649008 is about 1443.3142873187.

The spelling of 3006649008 in words is "three billion, six million, six hundred forty-nine thousand, eight".