3630 has 24 divisors (see below), whose sum is σ = 9576. Its totient is φ = 880.

The previous prime is 3623. The next prime is 3631. The reversal of 3630 is 363.

3630 = T₂₀ + T₂₁ + ... + T₃₀.

3630 is nontrivially palindromic in base 16.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

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

3630 is an undulating number in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3631) by changing a digit.

3630 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 11 ways as a sum of consecutive naturals, for example, 325 + ... + 335.

It is an arithmetic number, because the mean of its divisors is an integer number (399).

2³⁶³⁰ is an apocalyptic number.

3630 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4788).

3630 is an abundant number, since it is smaller than the sum of its proper divisors (5946).

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

3630 is a wasteful number, since it uses less digits than its factorization.

3630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3630 is about 60.2494813256. The cubic root of 3630 is about 15.3686436810.

Adding to 3630 its reverse (363), we get a palindrome (3993).

It can be divided in two parts, 36 and 30, that added together give a palindrome (66).

The spelling of 3630 in words is "three thousand, six hundred thirty".