3006299925888 has 512 divisors, whose sum is σ = 9510773760000. Its totient is φ = 840785283072.

The previous prime is 3006299925869. The next prime is 3006299925953. The reversal of 3006299925888 is 8885299926003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199194581 + ... + 2199195947.

It is an arithmetic number, because the mean of its divisors is an integer number (18575730000).

Almost surely, 2^{3006299925888} 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 3006299925888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755386880000).

3006299925888 is an abundant number, since it is smaller than the sum of its proper divisors (6504473834112).

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

3006299925888 is a wasteful number, since it uses less digits than its factorization.

3006299925888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 69.

The spelling of 3006299925888 in words is "three trillion, six billion, two hundred ninety-nine million, nine hundred twenty-five thousand, eight hundred eighty-eight".