38856 has 16 divisors (see below), whose sum is σ = 97200. Its totient is φ = 12944.

The previous prime is 38851. The next prime is 38861. The reversal of 38856 is 65883.

38856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38851) and next prime (38861).

It is a plaindrome in base 13.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (38851) by changing a digit.

38856 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 3 ways as a sum of consecutive naturals, for example, 786 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

38856 is a Friedman number, since it can be written as (3^8-85)*6, using all its digits and the basic arithmetic operations.

2³⁸⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

38856 is an abundant number, since it is smaller than the sum of its proper divisors (58344).

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 (48600).

38856 is a wasteful number, since it uses less digits than its factorization.

38856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 38856 is about 197.1192532453. The cubic root of 38856 is about 33.8703249677.

It can be divided in two parts, 388 and 56, that added together give a palindrome (444).

The spelling of 38856 in words is "thirty-eight thousand, eight hundred fifty-six".