3988 has 6 divisors (see below), whose sum is σ = 6986. Its totient is φ = 1992.

The previous prime is 3967. The next prime is 3989. The reversal of 3988 is 8893.

It can be written as a sum of positive squares in only one way, i.e., 3844 + 144 = 62^2 + 12^2 .

It is a plaindrome in base 15.

It is a nialpdrome in base 4, base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3989) by changing a digit.

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, 495 + ... + 502.

2³⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

3988 is a deficient number, since it is larger than the sum of its proper divisors (2998).

3988 is a wasteful number, since it uses less digits than its factorization.

3988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001 (or 999 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 3988 is about 63.1506136154. The cubic root of 3988 is about 15.8581206086.

It can be divided in two parts, 398 and 8, that added together give a triangular number (406 = T₂₈).

The spelling of 3988 in words is "three thousand, nine hundred eighty-eight".