38652 has 12 divisors (see below), whose sum is σ = 90216.
Its totient is φ = 12880.
The previous prime is 38651. The next prime is 38653. The reversal of 38652 is 25683.
It is an interprime number because it is at equal distance from previous prime (38651) and next prime (38653).
It is a tau number, because it is divible by the number of its divisors (12).
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 38652.
It is not an unprimeable number, because it can be changed into a prime (38651) 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, 1599 + ... + 1622.
It is an arithmetic number, because the mean of its divisors is an integer number (7518).
238652 is an apocalyptic number.
It is an amenable number.
38652 is an abundant number, since it is smaller than the sum of its proper divisors (51564).
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 (45108).
38652 is a wasteful number, since it uses less digits than its factorization.
38652 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3228 (or 3226 counting only the distinct ones).
The product of its digits is 1440, while the sum is 24.
The square root of 38652 is about 196.6011190202.
The cubic root of 38652 is about 33.8109461180.
The spelling of 38652 in words is "thirty-eight thousand, six hundred fifty-two".