3009248000 has 288 divisors, whose sum is σ = 8356787712. Its totient is φ = 1070592000.

The previous prime is 3009247993. The next prime is 3009248023. The reversal of 3009248000 is 8429003.

3009248000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29215949 + ... + 29216051.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 2^3009248000 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 3009248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178393856).

3009248000 is an abundant number, since it is smaller than the sum of its proper divisors (5347539712).

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

3009248000 is a wasteful number, since it uses less digits than its factorization.

3009248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 3009248000 is about 54856.6130926801. The cubic root of 3009248000 is about 1443.7300416399.

The spelling of 3009248000 in words is "three billion, nine million, two hundred forty-eight thousand".