3856 has 10 divisors (see below), whose sum is σ = 7502. Its totient is φ = 1920.

The previous prime is 3853. The next prime is 3863. The reversal of 3856 is 6583.

3856 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 3600 + 256 = 60^2 + 16^2 .

It is a d-powerful number, because it can be written as 3 + 5⁵ + 8³ + 6³ .

It is an alternating number because its digits alternate between odd and even.

It is a nialpdrome in base 8 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105 + ... + 136.

2³⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

3856 is a deficient number, since it is larger than the sum of its proper divisors (3646).

3856 is a wasteful number, since it uses less digits than its factorization.

3856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 3856 is about 62.0966987850. The cubic root of 3856 is about 15.6811896918.

Subtracting from 3856 its product of digits (720), we obtain a square (3136 = 56²).

The spelling of 3856 in words is "three thousand, eight hundred fifty-six".