3216658960 has 80 divisors (see below), whose sum is σ = 7902619200. Its totient is φ = 1214258688.

The previous prime is 3216658943. The next prime is 3216658967. The reversal of 3216658960 is 698566123.

3216658960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 3216658960.

It is not an unprimeable number, because it can be changed into a prime (3216658967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404947 + ... + 412813.

It is an arithmetic number, because the mean of its divisors is an integer number (98782740).

Almost surely, 2^3216658960 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 3216658960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951309600).

3216658960 is an abundant number, since it is smaller than the sum of its proper divisors (4685960240).

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

3216658960 is a wasteful number, since it uses less digits than its factorization.

3216658960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8168 (or 8162 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 3216658960 is about 56715.5971492851. The cubic root of 3216658960 is about 1476.1653469875.

It can be divided in two parts, 321665 and 8960, that added together give a square (330625 = 575²).

The spelling of 3216658960 in words is "three billion, two hundred sixteen million, six hundred fifty-eight thousand, nine hundred sixty".