3004114003 has 8 divisors (see below), whose sum is σ = 3309664176. Its totient is φ = 2703972000.

The previous prime is 3004113989. The next prime is 3004114037.

3004114003 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3004114003 - 2¹⁷ = 3003982931 is a prime.

It is a super-3 number, since 3×3004114003³ (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3004114063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1350876 + ... + 1353097.

It is an arithmetic number, because the mean of its divisors is an integer number (413708022).

Almost surely, 2^3004114003 is an apocalyptic number.

3004114003 is a deficient number, since it is larger than the sum of its proper divisors (305550173).

3004114003 is a wasteful number, since it uses less digits than its factorization.

3004114003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704085.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3004114003 is about 54809.7984214502. The cubic root of 3004114003 is about 1442.9085379618.

It can be divided in two parts, 30041 and 14003, that added together give a palindrome (44044).

The spelling of 3004114003 in words is "three billion, four million, one hundred fourteen thousand, three".