3632220 has 72 divisors (see below), whose sum is σ = 11675664. Its totient is φ = 910848.

The previous prime is 3632201. The next prime is 3632243. The reversal of 3632220 is 222363.

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

It is a junction number, because it is equal to n+sod(n) for n = 3632193 and 3632202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2467 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (162162).

Almost surely, 2^3632220 is an apocalyptic number.

3632220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3632220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837832).

3632220 is an abundant number, since it is smaller than the sum of its proper divisors (8043444).

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

3632220 is a wasteful number, since it uses less digits than its factorization.

3632220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3632220 is about 1905.8383981860. The cubic root of 3632220 is about 153.7177604423.

Adding to 3632220 its reverse (222363), we get a palindrome (3854583).

The spelling of 3632220 in words is "three million, six hundred thirty-two thousand, two hundred twenty".