3672 has 32 divisors (see below), whose sum is σ = 10800. Its totient is φ = 1152.

The previous prime is 3671. The next prime is 3673. The reversal of 3672 is 2763.

3672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3671) and next prime (3673).

It is a Harshad number since it is a multiple of its sum of digits (18).

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

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671) 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, 208 + ... + 224.

2³⁶⁷² 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 3672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5400).

3672 is an abundant number, since it is smaller than the sum of its proper divisors (7128).

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

3672 is a wasteful number, since it uses less digits than its factorization.

3672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 22 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3672 is about 60.5970296302. The cubic root of 3672 is about 15.4276895439.

Subtracting from 3672 its reverse (2763), we obtain a palindrome (909).

It can be divided in two parts, 3 and 672, that multiplied together give a triangular number (2016 = T₆₃).

The spelling of 3672 in words is "three thousand, six hundred seventy-two".