3006728368 has 80 divisors (see below), whose sum is σ = 6817849344. Its totient is φ = 1257765120.

The previous prime is 3006728357. The next prime is 3006728411. The reversal of 3006728368 is 8638276003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3194778 + ... + 3195718.

Almost surely, 2^3006728368 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 3006728368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408924672).

3006728368 is an abundant number, since it is smaller than the sum of its proper divisors (3811120976).

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

3006728368 is a wasteful number, since it uses less digits than its factorization.

3006728368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3006728368 is about 54833.6426657941. The cubic root of 3006728368 is about 1443.3269858871.

The spelling of 3006728368 in words is "three billion, six million, seven hundred twenty-eight thousand, three hundred sixty-eight".