3788 has 6 divisors (see below), whose sum is σ = 6636. Its totient is φ = 1892.

The previous prime is 3779. The next prime is 3793. The reversal of 3788 is 8873.

It is a plaindrome in base 10 and 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 3788.

It is an unprimeable number.

3788 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 as a sum of consecutive naturals, namely, 470 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (1106).

2³⁷⁸⁸ is an apocalyptic number.

It is an amenable number.

3788 is a deficient number, since it is larger than the sum of its proper divisors (2848).

3788 is a wasteful number, since it uses less digits than its factorization.

3788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 949 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 3788 is about 61.5467302137. The cubic root of 3788 is about 15.5884639675.

It can be divided in two parts, 37 and 88, that added together give a cube (125 = 5³).

The spelling of 3788 in words is "three thousand, seven hundred eighty-eight".