38088 has 36 divisors (see below), whose sum is σ = 107835. Its totient is φ = 12144.

The previous prime is 38083. The next prime is 38113. The reversal of 38088 is 88083.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19044 + 19044 = 138^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (38083) by changing a digit.

38088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1645 + ... + 1667.

2³⁸⁰⁸⁸ 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 38088

38088 is an abundant number, since it is smaller than the sum of its proper divisors (69747).

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

38088 is a wasteful number, since it uses less digits than its factorization.

38088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 38088 is about 195.1614716075. The cubic root of 38088 is about 33.6456861514.

The spelling of 38088 in words is "thirty-eight thousand, eighty-eight".