38286 has 16 divisors (see below), whose sum is σ = 85200. Its totient is φ = 12744.

The previous prime is 38281. The next prime is 38287. The reversal of 38286 is 68283.

38286 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 301 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (5325).

2³⁸²⁸⁶ is an apocalyptic number.

38286 is an abundant number, since it is smaller than the sum of its proper divisors (46914).

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 (42600).

38286 is a wasteful number, since it uses less digits than its factorization.

38286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 38286 is about 195.6680863094. The cubic root of 38286 is about 33.7038876430.

It can be divided in two parts, 38 and 286, that added together give a square (324 = 18²).

The spelling of 38286 in words is "thirty-eight thousand, two hundred eighty-six".