3786 has 8 divisors (see below), whose sum is σ = 7584. Its totient is φ = 1260.

The previous prime is 3779. The next prime is 3793. The reversal of 3786 is 6873.

It is an interprime number because it is at equal distance from previous prime (3779) and next prime (3793).

It is a sphenic number, since it is the product of 3 distinct primes.

3786 is an admirable number.

It is a d-powerful number, because it can be written as 3⁴ + 8 + 7⁴ + 6⁴ .

It is a Curzon number.

It is a plaindrome in base 12.

It is a nialpdrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3786.

It is an unprimeable number.

3786 is an untouchable number, because it is not equal to the sum of proper divisors of any 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, 310 + ... + 321.

It is an arithmetic number, because the mean of its divisors is an integer number (948).

2³⁷⁸⁶ is an apocalyptic number.

3786 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792).

3786 is a wasteful number, since it uses less digits than its factorization.

3786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636.

The product of its digits is 1008, while the sum is 24.

The square root of 3786 is about 61.5304802517. The cubic root of 3786 is about 15.5857200026.

The spelling of 3786 in words is "three thousand, seven hundred eighty-six".