3784 has 16 divisors (see below), whose sum is σ = 7920. Its totient is φ = 1680.

The previous prime is 3779. The next prime is 3793. The reversal of 3784 is 4873.

3784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

Its product of digits (672) is a multiple of the sum of its prime divisors (56).

It is a plaindrome in base 12.

It is a nialpdrome in base 8 and base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (495).

3784 is a Friedman number, since it can be written as 473*8, using all its digits and the basic arithmetic operations.

2³⁷⁸⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3960).

3784 is an abundant number, since it is smaller than the sum of its proper divisors (4136).

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

3784 is a wasteful number, since it uses less digits than its factorization.

3784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 56 counting only the distinct ones).

The product of its digits is 672, while the sum is 22.

The square root of 3784 is about 61.5142259969. The cubic root of 3784 is about 15.5829750713.

Subtracting 3784 from its reverse (4873), we obtain a square (1089 = 33²).

It can be divided in two parts, 37 and 84, that added together give a palindrome (121).

The spelling of 3784 in words is "three thousand, seven hundred eighty-four".