3208960 has 72 divisors (see below), whose sum is σ = 8094240. Its totient is φ = 1216512.

The previous prime is 3208957. The next prime is 3208969. The reversal of 3208960 is 698023.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3208969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29386 + ... + 29494.

It is an arithmetic number, because the mean of its divisors is an integer number (112420).

Almost surely, 2^3208960 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 3208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047120).

3208960 is an abundant number, since it is smaller than the sum of its proper divisors (4885280).

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

3208960 is a wasteful number, since it uses less digits than its factorization.

3208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3208960 is about 1791.3570275074. The cubic root of 3208960 is about 147.4986689528.

The spelling of 3208960 in words is "three million, two hundred eight thousand, nine hundred sixty".