3224193768 has 128 divisors (see below), whose sum is σ = 9144576000. Its totient is φ = 1052268480.

The previous prime is 3224193743. The next prime is 3224193779. The reversal of 3224193768 is 8673914223.

3224193768 is a `hidden beast` number, since 32 + 241 + 9 + 376 + 8 = 666.

It is a super-2 number, since 2×3224193768² = 20790850907220075648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5492371 + ... + 5492957.

It is an arithmetic number, because the mean of its divisors is an integer number (71442000).

Almost surely, 2^3224193768 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 3224193768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572288000).

3224193768 is an abundant number, since it is smaller than the sum of its proper divisors (5920382232).

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

3224193768 is a wasteful number, since it uses less digits than its factorization.

3224193768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3224193768 is about 56781.9845373513. The cubic root of 3224193768 is about 1477.3170543151.

The spelling of 3224193768 in words is "three billion, two hundred twenty-four million, one hundred ninety-three thousand, seven hundred sixty-eight".