3313252224 has 288 divisors, whose sum is σ = 10427451840. Its totient is φ = 1008599040.

The previous prime is 3313252223. The next prime is 3313252237. The reversal of 3313252224 is 4222523133.

3313252224 is a `hidden beast` number, since 3 + 3 + 132 + 522 + 2 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3313252223) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12891904 + ... + 12892160.

It is an arithmetic number, because the mean of its divisors is an integer number (36206430).

Almost surely, 2^3313252224 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 3313252224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213725920).

3313252224 is an abundant number, since it is smaller than the sum of its proper divisors (7114199616).

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

3313252224 is a wasteful number, since it uses less digits than its factorization.

3313252224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 312 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 3313252224 is about 57560.8566996705. The cubic root of 3313252224 is about 1490.7958188852.

Adding to 3313252224 its reverse (4222523133), we get a palindrome (7535775357).

The spelling of 3313252224 in words is "three billion, three hundred thirteen million, two hundred fifty-two thousand, two hundred twenty-four".