3006548224 has 81 divisors (see below), whose sum is σ = 6316012633. Its totient is φ = 1428263936.

The previous prime is 3006548221. The next prime is 3006548231. The reversal of 3006548224 is 4228456003.

The square root of 3006548224 is 54832.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 352237824 + 2654310400 = 18768^2 + 51520^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3006548224.

It is not an unprimeable number, because it can be changed into a prime (3006548221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20178102 + ... + 20178250.

Almost surely, 2^3006548224 is an apocalyptic number.

3006548224 is the 54832-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3006548224

3006548224 is an abundant number, since it is smaller than the sum of its proper divisors (3309464409).

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

3006548224 is an frugal number, since it uses more digits than its factorization.

3006548224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The cubic root of 3006548224 is about 1443.2981603268.

The spelling of 3006548224 in words is "three billion, six million, five hundred forty-eight thousand, two hundred twenty-four".