3792 has 20 divisors (see below), whose sum is σ = 9920. Its totient is φ = 1248.

The previous prime is 3779. The next prime is 3793. The reversal of 3792 is 2973.

3792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 15.

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 3792.

It is not an unprimeable number, because it can be changed into a prime (3793) by changing a digit.

3792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (496).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960).

3792 is an abundant number, since it is smaller than the sum of its proper divisors (6128).

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

3792 is a wasteful number, since it uses less digits than its factorization.

3792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 378, while the sum is 21.

The square root of 3792 is about 61.5792172734. The cubic root of 3792 is about 15.5939490010.

The spelling of 3792 in words is "three thousand, seven hundred ninety-two".