3866688 has 126 divisors (see below), whose sum is σ = 12986766. Its totient is φ = 1096704.

The previous prime is 3866651. The next prime is 3866713. The reversal of 3866688 is 8866683.

It can be written as a sum of positive squares in only one way, i.e., 3415104 + 451584 = 1848^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28156 + ... + 28292.

Almost surely, 2^3866688 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 3866688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493383).

3866688 is an abundant number, since it is smaller than the sum of its proper divisors (9120078).

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

3866688 is a wasteful number, since it uses less digits than its factorization.

3866688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 3866688 is about 1966.3895850009. The cubic root of 3866688 is about 156.9566461765.

It can be divided in two parts, 3866 and 688, that added together give a palindrome (4554).

The spelling of 3866688 in words is "three million, eight hundred sixty-six thousand, six hundred eighty-eight".