38756 has 6 divisors (see below), whose sum is σ = 67830. Its totient is φ = 19376.

The previous prime is 38749. The next prime is 38767. The reversal of 38756 is 65783.

38756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 33856 + 4900 = 184^2 + 70^2 .

It is a nialpdrome in base 16.

It is a zygodrome in base 5.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 38756.

It is an unprimeable number.

38756 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 as a sum of consecutive naturals, namely, 4841 + ... + 4848.

It is an arithmetic number, because the mean of its divisors is an integer number (11305).

2³⁸⁷⁵⁶ is an apocalyptic number.

It is an amenable number.

38756 is a deficient number, since it is larger than the sum of its proper divisors (29074).

38756 is a wasteful number, since it uses less digits than its factorization.

38756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693 (or 9691 counting only the distinct ones).

The product of its digits is 5040, while the sum is 29.

The square root of 38756 is about 196.8654362756. The cubic root of 38756 is about 33.8412437251.

The spelling of 38756 in words is "thirty-eight thousand, seven hundred fifty-six".