3006024 has 64 divisors (see below), whose sum is σ = 8899200. Its totient is φ = 827904.

The previous prime is 3006013. The next prime is 3006037. The reversal of 3006024 is 4206003.

3006024 is nontrivially palindromic in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 3005994 and 3006012.

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, 4564 + ... + 5180.

It is an arithmetic number, because the mean of its divisors is an integer number (139050).

Almost surely, 2^3006024 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 3006024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449600).

3006024 is an abundant number, since it is smaller than the sum of its proper divisors (5893176).

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

3006024 is a wasteful number, since it uses less digits than its factorization.

3006024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3006024 is about 1733.7889144876. The cubic root of 3006024 is about 144.3214270602.

The spelling of 3006024 in words is "three million, six thousand, twenty-four".