3652 has 12 divisors (see below), whose sum is σ = 7056. Its totient is φ = 1640.

The previous prime is 3643. The next prime is 3659. The reversal of 3652 is 2563.

3652 is nontrivially palindromic in base 3.

3652 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

It is a d-powerful number, because it can be written as 3² + 5⁵ + 6 + 2⁹ .

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

It is a plaindrome in base 14 and base 15.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3659) by changing a digit.

3652 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3 + ... + 85.

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

2³⁶⁵² is an apocalyptic number.

It is an amenable number.

3652 is a deficient number, since it is larger than the sum of its proper divisors (3404).

3652 is a wasteful number, since it uses less digits than its factorization.

3652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 96 counting only the distinct ones).

The product of its digits is 180, while the sum is 16.

The square root of 3652 is about 60.4317797190. The cubic root of 3652 is about 15.3996289335.

Subtracting from 3652 its reverse (2563), we obtain a square (1089 = 33²).

It can be divided in two parts, 36 and 52, that added together give a palindrome (88).

The spelling of 3652 in words is "three thousand, six hundred fifty-two".