3216960 has 84 divisors (see below), whose sum is σ = 11074908. Its totient is φ = 857088.

The previous prime is 3216949. The next prime is 3216977. The reversal of 3216960 is 696123.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 553536 + 2663424 = 744^2 + 1632^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2322 + ... + 3438.

Almost surely, 2^3216960 is an apocalyptic number.

3216960 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 3216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537454).

3216960 is an abundant number, since it is smaller than the sum of its proper divisors (7857948).

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

3216960 is a wasteful number, since it uses less digits than its factorization.

3216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3216960 is about 1793.5885815872. The cubic root of 3216960 is about 147.6211395901.

The spelling of 3216960 in words is "three million, two hundred sixteen thousand, nine hundred sixty".