3006225800 has 36 divisors (see below), whose sum is σ = 6991278255. Its totient is φ = 1202180160.

The previous prime is 3006225799. The next prime is 3006225841. The reversal of 3006225800 is 85226003.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 427414276 + 2578811524 = 20674^2 + 50782^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=38770.

It is a self number, because there is not a number n which added to its sum of digits gives 3006225800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 773462 + ... + 777338.

Almost surely, 2^3006225800 is an apocalyptic number.

It is an amenable number.

3006225800 is an abundant number, since it is smaller than the sum of its proper divisors (3985052455).

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

3006225800 is an frugal number, since it uses more digits than its factorization.

3006225800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770 (or 3884 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 3006225800 is about 54829.0598132049. The cubic root of 3006225800 is about 1443.2465651012.

The spelling of 3006225800 in words is "three billion, six million, two hundred twenty-five thousand, eight hundred".