3221960 has 64 divisors (see below), whose sum is σ = 8536320. Its totient is φ = 1071360.

The previous prime is 3221957. The next prime is 3221971. The reversal of 3221960 is 691223.

3221960 = 111² + 112² + ... + 222².

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10205 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (133380).

Almost surely, 2^3221960 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 3221960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268160).

3221960 is an abundant number, since it is smaller than the sum of its proper divisors (5314360).

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

3221960 is a wasteful number, since it uses less digits than its factorization.

3221960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 3221960 is about 1794.9818940591. The cubic root of 3221960 is about 147.6975806633.

The spelling of 3221960 in words is "three million, two hundred twenty-one thousand, nine hundred sixty".