3843168 has 144 divisors (see below), whose sum is σ = 12640320. Its totient is φ = 1016064.

The previous prime is 3843137. The next prime is 3843179. The reversal of 3843168 is 8613483.

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

3843168 is a modest number, since divided by 3168 gives 384 as remainder.

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89355 + ... + 89397.

It is an arithmetic number, because the mean of its divisors is an integer number (87780).

Almost surely, 2^3843168 is an apocalyptic number.

3843168 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 3843168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320160).

3843168 is an abundant number, since it is smaller than the sum of its proper divisors (8797152).

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

3843168 is a wasteful number, since it uses less digits than its factorization.

3843168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 74 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 3843168 is about 1960.3999591920. The cubic root of 3843168 is about 156.6377573538.

The spelling of 3843168 in words is "three million, eight hundred forty-three thousand, one hundred sixty-eight".