3692 has 12 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1680.

The previous prime is 3691. The next prime is 3697. The reversal of 3692 is 2963.

Subtracting from 3692 its reverse (2963), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 36 and 92, that added together give a 7-th power (128 = 2^{7}).

It is a happy number.

It is a d-powerful number, because it can be written as **3**^{7} + **9**^{2} + **6**^{4} + **2**^{7} .

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

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3692.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 87.

It is an arithmetic number, because the mean of its divisors is an integer number (588).

2^{3692} is an apocalyptic number.

It is an amenable number.

3692 is a deficient number, since it is larger than the sum of its proper divisors (3364).

3692 is a wasteful number, since it uses less digits than its factorization.

3692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 86 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 3692 is about 60.7618301239. The cubic root of 3692 is about 15.4556484481.

The spelling of 3692 in words is "three thousand, six hundred ninety-two".

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