3642 has 8 divisors (see below), whose sum is σ = 7296. Its totient is φ = 1212.

The previous prime is 3637. The next prime is 3643. The reversal of 3642 is 2463.

Added to its reverse (2463) it gives a triangular number (6105 = T₁₁₀).

It is a sphenic number, since it is the product of 3 distinct primes.

3642 is an admirable number.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3643) by changing a digit.

3642 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 298 + ... + 309.

It is an arithmetic number, because the mean of its divisors is an integer number (912).

3642 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648).

3642 is a wasteful number, since it uses less digits than its factorization.

3642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612.

The product of its digits is 144, while the sum is 15.

The square root of 3642 is about 60.3489850785. The cubic root of 3642 is about 15.3855601984.

Adding to 3642 its reverse (2463), we get a triangular number (6105 = T₁₁₀).

It can be divided in two parts, 36 and 42, that added together give a triangular number (78 = T₁₂).

The spelling of 3642 in words is "three thousand, six hundred forty-two".