3003871920 has 160 divisors (see below), whose sum is σ = 10724313600. Its totient is φ = 681308160.

The previous prime is 3003871909. The next prime is 3003871961. The reversal of 3003871920 is 291783003.

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, 213256 + ... + 226904.

It is an arithmetic number, because the mean of its divisors is an integer number (67026960).

Almost surely, 2^3003871920 is an apocalyptic number.

3003871920 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 3003871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

3003871920 is an abundant number, since it is smaller than the sum of its proper divisors (7720441680).

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

3003871920 is a wasteful number, since it uses less digits than its factorization.

3003871920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13803 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 3003871920 is about 54807.5899853296. The cubic root of 3003871920 is about 1442.8697785572.

The spelling of 3003871920 in words is "three billion, three million, eight hundred seventy-one thousand, nine hundred twenty".