3221512560 has 800 divisors, whose sum is σ = 13827686400. Its totient is φ = 679311360.

The previous prime is 3221512543. The next prime is 3221512573. The reversal of 3221512560 is 652151223.

It is a happy number.

3221512560 is a `hidden beast` number, since 32 + 21 + 51 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40778601 + ... + 40778679.

It is an arithmetic number, because the mean of its divisors is an integer number (17284608).

Almost surely, 2^3221512560 is an apocalyptic number.

3221512560 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 3221512560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913843200).

3221512560 is an abundant number, since it is smaller than the sum of its proper divisors (10606173840).

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

3221512560 is a wasteful number, since it uses less digits than its factorization.

3221512560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 3221512560 is about 56758.3699554524. The cubic root of 3221512560 is about 1476.9074332778.

Adding to 3221512560 its reverse (652151223), we get a palindrome (3873663783).

The spelling of 3221512560 in words is "three billion, two hundred twenty-one million, five hundred twelve thousand, five hundred sixty".