3286960 has 40 divisors (see below), whose sum is σ = 7718256. Its totient is φ = 1301760.

The previous prime is 3286957. The next prime is 3286991. The reversal of 3286960 is 696823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14367 + ... + 14593.

Almost surely, 2^3286960 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 3286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859128).

3286960 is an abundant number, since it is smaller than the sum of its proper divisors (4431296).

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

3286960 is a wasteful number, since it uses less digits than its factorization.

3286960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 3286960 is about 1812.9975179244. The cubic root of 3286960 is about 148.6841951711.

The spelling of 3286960 in words is "three million, two hundred eighty-six thousand, nine hundred sixty".