3006006388 has 72 divisors (see below), whose sum is σ = 6821652992. Its totient is φ = 1133352000.

The previous prime is 3006006379. The next prime is 3006006403. The reversal of 3006006388 is 8836006003.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90718 + ... + 119338.

Almost surely, 2^3006006388 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 3006006388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410826496).

3006006388 is an abundant number, since it is smaller than the sum of its proper divisors (3815646604).

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

3006006388 is a wasteful number, since it uses less digits than its factorization.

3006006388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28685 (or 28672 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 3006006388 is about 54827.0589034283. The cubic root of 3006006388 is about 1443.2114520458.

The spelling of 3006006388 in words is "three billion, six million, six thousand, three hundred eighty-eight".