3630120 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 888576.

The previous prime is 3630101. The next prime is 3630149. The reversal of 3630120 is 210363.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3630120.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20191 + ... + 20369.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 2^3630120 is an apocalyptic number.

3630120 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 3630120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

3630120 is an abundant number, since it is smaller than the sum of its proper divisors (8228280).

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

3630120 is a wasteful number, since it uses less digits than its factorization.

3630120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3630120 is about 1905.2873798984. The cubic root of 3630120 is about 153.6881303053.

Adding to 3630120 its reverse (210363), we get a palindrome (3840483).

It can be divided in two parts, 3630 and 120, that multiplied together give a square (435600 = 660²).

The spelling of 3630120 in words is "three million, six hundred thirty thousand, one hundred twenty".