3008874574224 has 240 divisors, whose sum is σ = 8896152395520. Its totient is φ = 946716180480.

The previous prime is 3008874574163. The next prime is 3008874574229. The reversal of 3008874574224 is 4224754788003.

3008874574224 is a `hidden beast` number, since 300 + 8 + 8 + 7 + 45 + 74 + 224 = 666.

3008874574224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3008874574229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1359634942 + ... + 1359637154.

It is an arithmetic number, because the mean of its divisors is an integer number (37067301648).

Almost surely, 2^{3008874574224} 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 3008874574224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448076197760).

3008874574224 is an abundant number, since it is smaller than the sum of its proper divisors (5887277821296).

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

3008874574224 is a wasteful number, since it uses less digits than its factorization.

3008874574224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 3008874574224 in words is "three trillion, eight billion, eight hundred seventy-four million, five hundred seventy-four thousand, two hundred twenty-four".