3888 has 30 divisors (see below), whose sum is σ = 11284. Its totient is φ = 1296.

The previous prime is 3881. The next prime is 3889. The reversal of 3888 is 8883.

Multipling 3888 by its sum of digits (27), we get a 4-th power (104976 = 18^{4}).

3888 divided by its sum of digits (27) gives a square (144 = 12^{2}).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

3888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 6, base 9 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3881) by changing a digit.

3888 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 5 ways as a sum of consecutive naturals, for example, 1295 + 1296 + 1297.

2^{3888} 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 3888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642).

3888 is an abundant number, since it is smaller than the sum of its proper divisors (7396).

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

3888 is an equidigital number, since it uses as much as digits as its factorization.

3888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 5 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 3888 is about 62.3538290725. The cubic root of 3888 is about 15.7244483653.

The spelling of 3888 in words is "three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.047 sec. • engine limits •