3006144 has 84 divisors (see below), whose sum is σ = 9153144. Its totient is φ = 940032.

The previous prime is 3006121. The next prime is 3006151. The reversal of 3006144 is 4416003.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9639 + ... + 9945.

It is an arithmetic number, because the mean of its divisors is an integer number (108966).

Almost surely, 2^3006144 is an apocalyptic number.

3006144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576572).

3006144 is an abundant number, since it is smaller than the sum of its proper divisors (6147000).

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

3006144 is a wasteful number, since it uses less digits than its factorization.

3006144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3006144 is about 1733.8235204311. The cubic root of 3006144 is about 144.3233474641.

The spelling of 3006144 in words is "three million, six thousand, one hundred forty-four".