3963128 has 32 divisors (see below), whose sum is σ = 8164800. Its totient is φ = 1792128.

The previous prime is 3963121. The next prime is 3963161. The reversal of 3963128 is 8213693.

3963128 is nontrivially palindromic in base 3.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3963094 and 3963103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3963121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5153 + ... + 5871.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 2^3963128 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 3963128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082400).

3963128 is an abundant number, since it is smaller than the sum of its proper divisors (4201672).

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

3963128 is a wasteful number, since it uses less digits than its factorization.

3963128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 3963128 is about 1990.7606586428. The cubic root of 3963128 is about 158.2508433345.

The spelling of 3963128 in words is "three million, nine hundred sixty-three thousand, one hundred twenty-eight".