3005004873 has 32 divisors (see below), whose sum is σ = 4402048000. Its totient is φ = 1812165696.

The previous prime is 3005004857. The next prime is 3005004883. The reversal of 3005004873 is 3784005003.

3005004873 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3005004873 - 2⁴ = 3005004857 is a prime.

It is a super-2 number, since 2×3005004873² = 18060108573507492258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3005004873.

It is not an unprimeable number, because it can be changed into a prime (3005004883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 517098 + ... + 522876.

It is an arithmetic number, because the mean of its divisors is an integer number (137564000).

Almost surely, 2^3005004873 is an apocalyptic number.

It is an amenable number.

3005004873 is a deficient number, since it is larger than the sum of its proper divisors (1397043127).

3005004873 is a wasteful number, since it uses less digits than its factorization.

3005004873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061.

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3005004873 is about 54817.9247418214. The cubic root of 3005004873 is about 1443.0511553728.

Adding to 3005004873 its reverse (3784005003), we get a palindrome (6789009876).

The spelling of 3005004873 in words is "three billion, five million, four thousand, eight hundred seventy-three".