3956688 has 100 divisors (see below), whose sum is σ = 11883168. Its totient is φ = 1270080.

The previous prime is 3956681. The next prime is 3956737. The reversal of 3956688 is 8866593.

3956688 is a `hidden beast` number, since 3 + 9 + 566 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3956681) 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 19 ways as a sum of consecutive naturals, for example, 55693 + ... + 55763.

Almost surely, 2^3956688 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 3956688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5941584).

3956688 is an abundant number, since it is smaller than the sum of its proper divisors (7926480).

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

3956688 is a wasteful number, since it uses less digits than its factorization.

3956688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3956688 is about 1989.1425288299. The cubic root of 3956688 is about 158.1650787605.

The spelling of 3956688 in words is "three million, nine hundred fifty-six thousand, six hundred eighty-eight".