3330103240224 has 288 divisors, whose sum is σ = 9741324902400. Its totient is φ = 1078674315264.

The previous prime is 3330103240207. The next prime is 3330103240253. The reversal of 3330103240224 is 4220423010333.

3330103240224 is a `hidden beast` number, since 3 + 330 + 1 + 0 + 324 + 0 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3330103240224² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 871068777 + ... + 871072599.

It is an arithmetic number, because the mean of its divisors is an integer number (33824044800).

Almost surely, 2^{3330103240224} 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 3330103240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870662451200).

3330103240224 is an abundant number, since it is smaller than the sum of its proper divisors (6411221662176).

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

3330103240224 is a wasteful number, since it uses less digits than its factorization.

3330103240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 3330103240224 its reverse (4220423010333), we get a palindrome (7550526250557).

The spelling of 3330103240224 in words is "three trillion, three hundred thirty billion, one hundred three million, two hundred forty thousand, two hundred twenty-four".