3009481440 has 768 divisors, whose sum is σ = 12541132800. Its totient is φ = 590118912.

The previous prime is 3009481369. The next prime is 3009481441. The reversal of 3009481440 is 441849003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009481441) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 51008131 + ... + 51008189.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^3009481440 is an apocalyptic number.

3009481440 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 3009481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270566400).

3009481440 is an abundant number, since it is smaller than the sum of its proper divisors (9531651360).

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

3009481440 is a wasteful number, since it uses less digits than its factorization.

3009481440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3009481440 is about 54858.7407802986. The cubic root of 3009481440 is about 1443.7673727412.

The spelling of 3009481440 in words is "three billion, nine million, four hundred eighty-one thousand, four hundred forty".