3863688 has 64 divisors (see below), whose sum is σ = 10488000. Its totient is φ = 1181952.

The previous prime is 3863687. The next prime is 3863737. The reversal of 3863688 is 8863683.

3863688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3863688² = 29856169922688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16758 + ... + 16986.

It is an arithmetic number, because the mean of its divisors is an integer number (163875).

Almost surely, 2^3863688 is an apocalyptic number.

3863688 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244000).

3863688 is an abundant number, since it is smaller than the sum of its proper divisors (6624312).

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

3863688 is a wasteful number, since it uses less digits than its factorization.

3863688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3863688 is about 1965.6266176464. The cubic root of 3863688 is about 156.9160436619.

The spelling of 3863688 in words is "three million, eight hundred sixty-three thousand, six hundred eighty-eight".