3806688 has 48 divisors (see below), whose sum is σ = 10523520. Its totient is φ = 1201536.

The previous prime is 3806687. The next prime is 3806689. The reversal of 3806688 is 8866083.

It is an interprime number because it is at equal distance from previous prime (3806687) and next prime (3806689).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 781 + ... + 2867.

It is an arithmetic number, because the mean of its divisors is an integer number (219240).

Almost surely, 2^3806688 is an apocalyptic number.

3806688 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 3806688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261760).

3806688 is an abundant number, since it is smaller than the sum of its proper divisors (6716832).

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

3806688 is a wasteful number, since it uses less digits than its factorization.

3806688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3806688 is about 1951.0735506382. The cubic root of 3806688 is about 156.1405702053.

The spelling of 3806688 in words is "three million, eight hundred six thousand, six hundred eighty-eight".