3006030144 has 112 divisors (see below), whose sum is σ = 8583159872. Its totient is φ = 923000832.

The previous prime is 3006030133. The next prime is 3006030179. The reversal of 3006030144 is 4410306003.

It is a self number, because there is not a number n which added to its sum of digits gives 3006030144.

It is a congruent number.

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, 1603992 + ... + 1605864.

It is an arithmetic number, because the mean of its divisors is an integer number (76635356).

Almost surely, 2^3006030144 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 3006030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291579936).

3006030144 is an abundant number, since it is smaller than the sum of its proper divisors (5577129728).

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

3006030144 is a wasteful number, since it uses less digits than its factorization.

3006030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3006030144 is about 54827.2755478512. The cubic root of 3006030144 is about 1443.2152538608.

Adding to 3006030144 its reverse (4410306003), we get a palindrome (7416336147).

The spelling of 3006030144 in words is "three billion, six million, thirty thousand, one hundred forty-four".