38532 has 36 divisors (see below), whose sum is σ = 102480. Its totient is φ = 11232.

The previous prime is 38501. The next prime is 38543. The reversal of 38532 is 23583.

38532 = T₈₈ + T₈₉ + ... + T₉₆.

It is a junction number, because it is equal to n+sod(n) for n = 38499 and 38508.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38532.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2019 + ... + 2037.

2³⁸⁵³² 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 38532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51240).

38532 is an abundant number, since it is smaller than the sum of its proper divisors (63948).

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

38532 is a wasteful number, since it uses less digits than its factorization.

38532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 37 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 38532 is about 196.2956953170. The cubic root of 38532 is about 33.7759197321.

The spelling of 38532 in words is "thirty-eight thousand, five hundred thirty-two".