3004824768 has 224 divisors, whose sum is σ = 9230807040. Its totient is φ = 853079040.

The previous prime is 3004824751. The next prime is 3004824773. The reversal of 3004824768 is 8674284003.

3004824768 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, 4132821 + ... + 4133547.

It is an arithmetic number, because the mean of its divisors is an integer number (41208960).

Almost surely, 2^3004824768 is an apocalyptic number.

3004824768 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 3004824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615403520).

3004824768 is an abundant number, since it is smaller than the sum of its proper divisors (6225982272).

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

3004824768 is a wasteful number, since it uses less digits than its factorization.

3004824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3004824768 is about 54816.2819607459. The cubic root of 3004824768 is about 1443.0223250345.

The spelling of 3004824768 in words is "three billion, four million, eight hundred twenty-four thousand, seven hundred sixty-eight".