3782 has 8 divisors (see below), whose sum is σ = 5952. Its totient is φ = 1800.

The previous prime is 3779. The next prime is 3793. The reversal of 3782 is 2873.

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

3782 is an undulating number in base 11.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3782.

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, 32 + ... + 92.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

It is a pronic number, being equal to 61×62.

3782 is a deficient number, since it is larger than the sum of its proper divisors (2170).

3782 is a wasteful number, since it uses less digits than its factorization.

3782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94.

The product of its digits is 336, while the sum is 20.

The square root of 3782 is about 61.4979674461. The cubic root of 3782 is about 15.5802291725.

Subtracting from 3782 its reverse (2873), we obtain a palindrome (909).

It can be divided in two parts, 3 and 782, that multiplied together give a triangular number (2346 = T₆₈).

The spelling of 3782 in words is "three thousand, seven hundred eighty-two".