3009229440 has 512 divisors, whose sum is σ = 11581194240. Its totient is φ = 650280960.

The previous prime is 3009229429. The next prime is 3009229441. The reversal of 3009229440 is 449229003.

It is not an unprimeable number, because it can be changed into a prime (3009229441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23694657 + ... + 23694783.

It is an arithmetic number, because the mean of its divisors is an integer number (22619520).

Almost surely, 2^3009229440 is an apocalyptic number.

3009229440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790597120).

3009229440 is an abundant number, since it is smaller than the sum of its proper divisors (8571964800).

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

3009229440 is a wasteful number, since it uses less digits than its factorization.

3009229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3009229440 is about 54856.4439241189. The cubic root of 3009229440 is about 1443.7270734914.

The spelling of 3009229440 in words is "three billion, nine million, two hundred twenty-nine thousand, four hundred forty".