3003823872 has 360 divisors, whose sum is σ = 10419944080. Its totient is φ = 853493760.

The previous prime is 3003823859. The next prime is 3003823997. The reversal of 3003823872 is 2783283003.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 16595622 + ... + 16595802.

Almost surely, 2^3003823872 is an apocalyptic number.

3003823872 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 3003823872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5209972040).

3003823872 is an abundant number, since it is smaller than the sum of its proper divisors (7416120208).

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

3003823872 is an frugal number, since it uses more digits than its factorization.

3003823872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3003823872 is about 54807.1516501268. The cubic root of 3003823872 is about 1442.8620854443.

The spelling of 3003823872 in words is "three billion, three million, eight hundred twenty-three thousand, eight hundred seventy-two".