3963312 has 60 divisors (see below), whose sum is σ = 11751480. Its totient is φ = 1242624.

The previous prime is 3963301. The next prime is 3963317. The reversal of 3963312 is 2133693.

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 (3963317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1639 + ... + 3257.

It is an arithmetic number, because the mean of its divisors is an integer number (195858).

Almost surely, 2^3963312 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 3963312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875740).

3963312 is an abundant number, since it is smaller than the sum of its proper divisors (7788168).

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

3963312 is a wasteful number, since it uses less digits than its factorization.

3963312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1641 counting only the distinct ones).

The product of its digits is 2916, while the sum is 27.

The square root of 3963312 is about 1990.8068715975. The cubic root of 3963312 is about 158.2532923852.

The spelling of 3963312 in words is "three million, nine hundred sixty-three thousand, three hundred twelve".