3221225460 has 288 divisors, whose sum is σ = 10516746240. Its totient is φ = 796594176.

The previous prime is 3221225453. The next prime is 3221225461. The reversal of 3221225460 is 645221223.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3221225461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25363917 + ... + 25364043.

It is an arithmetic number, because the mean of its divisors is an integer number (36516480).

Almost surely, 2^3221225460 is an apocalyptic number.

3221225460 is a gapful number since it is divisible by the number (30) 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 3221225460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258373120).

3221225460 is an abundant number, since it is smaller than the sum of its proper divisors (7295520780).

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

3221225460 is a wasteful number, since it uses less digits than its factorization.

3221225460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3221225460 is about 56755.8407567010. The cubic root of 3221225460 is about 1476.8635581609.

Adding to 3221225460 its reverse (645221223), we get a palindrome (3866446683).

The spelling of 3221225460 in words is "three billion, two hundred twenty-one million, two hundred twenty-five thousand, four hundred sixty".