3633120 has 144 divisors (see below), whose sum is σ = 13169520. Its totient is φ = 935424.

The previous prime is 3633109. The next prime is 3633127. The reversal of 3633120 is 213363.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3633093 and 3633102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3633127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125266 + ... + 125294.

It is an arithmetic number, because the mean of its divisors is an integer number (91455).

Almost surely, 2^3633120 is an apocalyptic number.

3633120 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 3633120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6584760).

3633120 is an abundant number, since it is smaller than the sum of its proper divisors (9536400).

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

3633120 is a wasteful number, since it uses less digits than its factorization.

3633120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3633120 is about 1906.0745001180. The cubic root of 3633120 is about 153.7304555763.

Adding to 3633120 its reverse (213363), we get a palindrome (3846483).

The spelling of 3633120 in words is "three million, six hundred thirty-three thousand, one hundred twenty".