3826688 has 44 divisors (see below), whose sum is σ = 7934172. Its totient is φ = 1843200.

The previous prime is 3826673. The next prime is 3826703. The reversal of 3826688 is 8866283.

It is an interprime number because it is at equal distance from previous prime (3826673) and next prime (3826703).

It can be written as a sum of positive squares in 2 ways, for example, as 3564544 + 262144 = 1888^2 + 512^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37838 + ... + 37938.

Almost surely, 2^3826688 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 3826688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3967086).

3826688 is an abundant number, since it is smaller than the sum of its proper divisors (4107484).

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

3826688 is a wasteful number, since it uses less digits than its factorization.

3826688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 3826688 is about 1956.1922195940. The cubic root of 3826688 is about 156.4135422588.

The spelling of 3826688 in words is "three million, eight hundred twenty-six thousand, six hundred eighty-eight".