3004134144 has 144 divisors (see below), whose sum is σ = 9102046464. Its totient is φ = 870707200.

The previous prime is 3004134131. The next prime is 3004134163. The reversal of 3004134144 is 4414314003.

It is a super-2 number, since 2×3004134144² = 18049643910293225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186574 + ... + 202034.

It is an arithmetic number, because the mean of its divisors is an integer number (63208656).

Almost surely, 2^3004134144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3004134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551023232).

3004134144 is an abundant number, since it is smaller than the sum of its proper divisors (6097912320).

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

3004134144 is a wasteful number, since it uses less digits than its factorization.

3004134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 15500 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 3004134144 is about 54809.9821565379. The cubic root of 3004134144 is about 1442.9117626015.

Adding to 3004134144 its reverse (4414314003), we get a palindrome (7418448147).

The spelling of 3004134144 in words is "three billion, four million, one hundred thirty-four thousand, one hundred forty-four".