3008100224 has 64 divisors (see below), whose sum is σ = 6465180240. Its totient is φ = 1388814336.

The previous prime is 3008100211. The next prime is 3008100233. The reversal of 3008100224 is 4220018003.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3008100196 and 3008100205.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 102287 + ... + 128369.

Almost surely, 2^3008100224 is an apocalyptic number.

3008100224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232590120).

3008100224 is an abundant number, since it is smaller than the sum of its proper divisors (3457080016).

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

3008100224 is a wasteful number, since it uses less digits than its factorization.

3008100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26167 (or 26155 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3008100224 is about 54846.1504939043. The cubic root of 3008100224 is about 1443.5464642792.

Adding to 3008100224 its reverse (4220018003), we get a palindrome (7228118227).

The spelling of 3008100224 in words is "three billion, eight million, one hundred thousand, two hundred twenty-four".