3456168 has 64 divisors (see below), whose sum is σ = 9408960. Its totient is φ = 1053696.

The previous prime is 3456139. The next prime is 3456169. The reversal of 3456168 is 8616543.

3456168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17446 + ... + 17642.

It is an arithmetic number, because the mean of its divisors is an integer number (147015).

Almost surely, 2^3456168 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 3456168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704480).

3456168 is an abundant number, since it is smaller than the sum of its proper divisors (5952792).

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

3456168 is a wasteful number, since it uses less digits than its factorization.

3456168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 3456168 is about 1859.0771904362. The cubic root of 3456168 is about 151.1929757942.

The spelling of 3456168 in words is "three million, four hundred fifty-six thousand, one hundred sixty-eight".