3004159872 has 128 divisors (see below), whose sum is σ = 9342547200. Its totient is φ = 837365760.

The previous prime is 3004159861. The next prime is 3004159897. The reversal of 3004159872 is 2789514003.

3004159872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3004159872.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96579 + ... + 123837.

It is an arithmetic number, because the mean of its divisors is an integer number (72988650).

Almost surely, 2^3004159872 is an apocalyptic number.

3004159872 is a gapful number since it is divisible by the number (32) 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 3004159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671273600).

3004159872 is an abundant number, since it is smaller than the sum of its proper divisors (6338387328).

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

3004159872 is a wasteful number, since it uses less digits than its factorization.

3004159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27324 (or 27312 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3004159872 is about 54810.2168578085. The cubic root of 3004159872 is about 1442.9158817172.

The spelling of 3004159872 in words is "three billion, four million, one hundred fifty-nine thousand, eight hundred seventy-two".