38052 has 36 divisors (see below), whose sum is σ = 110656. Its totient is φ = 10800.

The previous prime is 38047. The next prime is 38053. The reversal of 38052 is 25083.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 8.

It is a nialpdrome in base 14.

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38053) by changing a digit.

38052 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 11 ways as a sum of consecutive naturals, for example, 177 + ... + 327.

2³⁸⁰⁵² 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 38052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55328).

38052 is an abundant number, since it is smaller than the sum of its proper divisors (72604).

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

38052 is a wasteful number, since it uses less digits than its factorization.

38052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 38052 is about 195.0692184841. The cubic root of 38052 is about 33.6350824047.

The spelling of 38052 in words is "thirty-eight thousand, fifty-two".