3004144000 has 384 divisors, whose sum is σ = 8910401760. Its totient is φ = 998400000.

The previous prime is 3004143983. The next prime is 3004144027. The reversal of 3004144000 is 4414003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29743950 + ... + 29744050.

Almost surely, 2^3004144000 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 3004144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455200880).

3004144000 is an abundant number, since it is smaller than the sum of its proper divisors (5906257760).

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

3004144000 is a wasteful number, since it uses less digits than its factorization.

3004144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3004144000 is about 54810.0720670937. The cubic root of 3004144000 is about 1442.9133405740.

Adding to 3004144000 its reverse (4414003), we get a palindrome (3008558003).

The spelling of 3004144000 in words is "three billion, four million, one hundred forty-four thousand".