3223124320 has 192 divisors, whose sum is σ = 8664485760. Its totient is φ = 1124057088.

The previous prime is 3223124291. The next prime is 3223124321. The reversal of 3223124320 is 234213223.

It is a junction number, because it is equal to n+sod(n) for n = 3223124291 and 3223124300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3223124321) by changing a digit.

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, 4257382 + ... + 4258138.

It is an arithmetic number, because the mean of its divisors is an integer number (45127530).

Almost surely, 2^3223124320 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 3223124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4332242880).

3223124320 is an abundant number, since it is smaller than the sum of its proper divisors (5441361440).

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

3223124320 is a wasteful number, since it uses less digits than its factorization.

3223124320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3223124320 is about 56772.5666145190. The cubic root of 3223124320 is about 1477.1536968374.

Adding to 3223124320 its reverse (234213223), we get a palindrome (3457337543).

The spelling of 3223124320 in words is "three billion, two hundred twenty-three million, one hundred twenty-four thousand, three hundred twenty".