3004110144 has 84 divisors (see below), whose sum is σ = 9840858144. Its totient is φ = 858316032.

The previous prime is 3004110143. The next prime is 3004110157. The reversal of 3004110144 is 4410114003.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-3 number, since 3×3004110144³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004110143) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 368502 + ... + 376565.

Almost surely, 2^3004110144 is an apocalyptic number.

It is an amenable number.

3004110144 is an abundant number, since it is smaller than the sum of its proper divisors (6836748000).

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

3004110144 is a wasteful number, since it uses less digits than its factorization.

3004110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745092 (or 745079 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3004110144 is about 54809.7632178793. The cubic root of 3004110144 is about 1442.9079201217.

Adding to 3004110144 its reverse (4410114003), we get a palindrome (7414224147).

The spelling of 3004110144 in words is "three billion, four million, one hundred ten thousand, one hundred forty-four".