3006666312 has 64 divisors (see below), whose sum is σ = 8106530880. Its totient is φ = 923795712.

The previous prime is 3006666277. The next prime is 3006666317. The reversal of 3006666312 is 2136666003.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3006666317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222123 + ... + 235269.

It is an arithmetic number, because the mean of its divisors is an integer number (126664545).

Almost surely, 2^3006666312 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 3006666312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053265440).

3006666312 is an abundant number, since it is smaller than the sum of its proper divisors (5099864568).

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

3006666312 is a wasteful number, since it uses less digits than its factorization.

3006666312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13902 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 3006666312 is about 54833.0768058842. The cubic root of 3006666312 is about 1443.3170561889.

The spelling of 3006666312 in words is "three billion, six million, six hundred sixty-six thousand, three hundred twelve".