3168288 has 96 divisors (see below), whose sum is σ = 9777600. Its totient is φ = 995328.

The previous prime is 3168271. The next prime is 3168289. The reversal of 3168288 is 8828613.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3168289) 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, 16320 + ... + 16512.

It is an arithmetic number, because the mean of its divisors is an integer number (101850).

Almost surely, 2^3168288 is an apocalyptic number.

3168288 is a gapful number since it is divisible by the number (38) 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 3168288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888800).

3168288 is an abundant number, since it is smaller than the sum of its proper divisors (6609312).

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

3168288 is a wasteful number, since it uses less digits than its factorization.

3168288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3168288 is about 1779.9685390478. The cubic root of 3168288 is about 146.8728596640.

The spelling of 3168288 in words is "three million, one hundred sixty-eight thousand, two hundred eighty-eight".