3006528 has 56 divisors (see below), whose sum is σ = 9095232. Its totient is φ = 858624.

The previous prime is 3006511. The next prime is 3006529. The reversal of 3006528 is 8256003.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3006528² = 18078421229568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3006498 and 3006507.

It is not an unprimeable number, because it can be changed into a prime (3006529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 2462.

Almost surely, 2^3006528 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 3006528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547616).

3006528 is an abundant number, since it is smaller than the sum of its proper divisors (6088704).

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

3006528 is a wasteful number, since it uses less digits than its factorization.

3006528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3006528 is about 1733.9342548090. The cubic root of 3006528 is about 144.3294924132.

The spelling of 3006528 in words is "three million, six thousand, five hundred twenty-eight".