40038 has 8 divisors (see below), whose sum is σ = 80088. Its totient is φ = 13344.

The previous prime is 40037. The next prime is 40039. The reversal of 40038 is 83004.

40038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40037) and next prime (40039).

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

40038 is an admirable number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 39999 and 40026.

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 40038.

It is not an unprimeable number, because it can be changed into a prime (40031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3331 + ... + 3342.

It is an arithmetic number, because the mean of its divisors is an integer number (10011).

2⁴⁰⁰³⁸ is an apocalyptic number.

40038 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 (40044).

40038 is a wasteful number, since it uses less digits than its factorization.

40038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6678.

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

The square root of 40038 is about 200.0949774482. The cubic root of 40038 is about 34.2103453536.

The spelling of 40038 in words is "forty thousand, thirty-eight".