3963168 has 120 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 1192320.

The previous prime is 3963161. The next prime is 3963209. The reversal of 3963168 is 8613693.

It is a happy number.

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 (3963161) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28443 + ... + 28581.

It is an arithmetic number, because the mean of its divisors is an integer number (106722).

Almost surely, 2^3963168 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 3963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

3963168 is an abundant number, since it is smaller than the sum of its proper divisors (8843472).

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

3963168 is a wasteful number, since it uses less digits than its factorization.

3963168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3963168 is about 1990.7707050286. The cubic root of 3963168 is about 158.2513757433.

The spelling of 3963168 in words is "three million, nine hundred sixty-three thousand, one hundred sixty-eight".