4038 has 8 divisors (see below), whose sum is σ = 8088. Its totient is φ = 1344.

The previous prime is 4027. The next prime is 4049. The reversal of 4038 is 8304.

It is an interprime number because it is at equal distance from previous prime (4027) and next prime (4049).

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

4038 is an admirable number.

It is an Ulam number.

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 4038.

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, 331 + ... + 342.

It is an arithmetic number, because the mean of its divisors is an integer number (1011).

4038 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044).

4038 is a wasteful number, since it uses less digits than its factorization.

4038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4038 is about 63.5452594613. The cubic root of 4038 is about 15.9241198734.

It can be divided in two parts, 40 and 38, that added together give a triangular number (78 = T₁₂).

The spelling of 4038 in words is "four thousand, thirty-eight".