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3936 = 25341

3936 has 24 divisors (see below), whose sum is σ = 10584. Its totient is φ = 1280.

The previous prime is 3931. The next prime is 3943. The reversal of 3936 is 6393.

3936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3936 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (24).

3936 is an undulating number in base 9.

Its product of digits (486) is a multiple of the sum of its prime factors (54).

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3936.

It is not an unprimeable number, because it can be changed into a prime (3931) by changing a digit.

3936 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, 76 + ... + 116.

It is an arithmetic number, because the mean of its divisors is an integer number (441).

23936 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 3936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292).

3936 is an abundant number, since it is smaller than the sum of its proper divisors (6648).

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

3936 is a wasteful number, since it uses less digits than its factorization.

3936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 46 counting only the distinct ones).

The product of its digits is 486, while the sum is 21.

The square root of 3936 is about 62.7375485654. The cubic root of 3936 is about 15.7888935459.

It can be divided in two parts, 3 and 936, that added together give a palindrome (939).

The spelling of 3936 in words is "three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936