3963288 has 64 divisors (see below), whose sum is σ = 11704320. Its totient is φ = 1094400.

The previous prime is 3963283. The next prime is 3963293. The reversal of 3963288 is 8823693.

It is an interprime number because it is at equal distance from previous prime (3963283) and next prime (3963293).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963283) 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, 4828 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^3963288 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 3963288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5852160).

3963288 is an abundant number, since it is smaller than the sum of its proper divisors (7741032).

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

3963288 is a wasteful number, since it uses less digits than its factorization.

3963288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 804 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 3963288 is about 1990.8008438817. The cubic root of 3963288 is about 158.2529729481.

The spelling of 3963288 in words is "three million, nine hundred sixty-three thousand, two hundred eighty-eight".