3009384768 has 448 divisors, whose sum is σ = 9831628800. Its totient is φ = 802897920.

The previous prime is 3009384743. The next prime is 3009384773. The reversal of 3009384768 is 8674839003.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 33813268 + ... + 33813356.

It is an arithmetic number, because the mean of its divisors is an integer number (21945600).

Almost surely, 2^3009384768 is an apocalyptic number.

3009384768 is a gapful number since it is divisible by the number (38) 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 3009384768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915814400).

3009384768 is an abundant number, since it is smaller than the sum of its proper divisors (6822244032).

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

3009384768 is a wasteful number, since it uses less digits than its factorization.

3009384768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3009384768 is about 54857.8596738881. The cubic root of 3009384768 is about 1443.7519134474.

The spelling of 3009384768 in words is "three billion, nine million, three hundred eighty-four thousand, seven hundred sixty-eight".