3696 has 40 divisors (see below), whose sum is σ = 11904. Its totient is φ = 960.

The previous prime is 3691. The next prime is 3697. The reversal of 3696 is 6963.

3696 = T_{13} + T_{14} + ... +
T_{28}.

3696 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 (24).

It is an Ulam number.

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

It is a plaindrome in base 15.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 15.

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 3696.

It is not an unprimeable number, because it can be changed into a prime (3691) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331 + ... + 341.

2^{3696} 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 3696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5952).

3696 is an abundant number, since it is smaller than the sum of its proper divisors (8208).

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

3696 is a wasteful number, since it uses less digits than its factorization.

3696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 23 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

The square root of 3696 is about 60.7947366143. The cubic root of 3696 is about 15.4612281050.

The spelling of 3696 in words is "three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696

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