3004873170849 has 27 divisors (see below), whose sum is σ = 4770913333459. Its totient is φ = 1821100585920.

The previous prime is 3004873170781. The next prime is 3004873170881. The reversal of 3004873170849 is 9480713784003.

The square root of 3004873170849 is 1733457.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 82824810849 + 2922048360000 = 287793^2 + 1709400^2 .

It is not a de Polignac number, because 3004873170849 - 2⁷ = 3004873170721 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3004873170795 and 3004873170804.

It is not an unprimeable number, because it can be changed into a prime (3004873170889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57177817 + ... + 57230345.

Almost surely, 2^{3004873170849} is an apocalyptic number.

3004873170849 is the 1733457-th square number.

3004873170849 is the 866729-th centered octagonal number.

It is an amenable number.

3004873170849 is a deficient number, since it is larger than the sum of its proper divisors (1766040162610).

3004873170849 is an frugal number, since it uses more digits than its factorization.

3004873170849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105086 (or 52543 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3004873170849 in words is "three trillion, four billion, eight hundred seventy-three million, one hundred seventy thousand, eight hundred forty-nine".