3684120 has 64 divisors (see below), whose sum is σ = 12061440. Its totient is φ = 892800.

The previous prime is 3684103. The next prime is 3684151. The reversal of 3684120 is 214863.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76 + ... + 2715.

It is an arithmetic number, because the mean of its divisors is an integer number (188460).

Almost surely, 2^3684120 is an apocalyptic number.

3684120 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 3684120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030720).

3684120 is an abundant number, since it is smaller than the sum of its proper divisors (8377320).

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

3684120 is a wasteful number, since it uses less digits than its factorization.

3684120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3684120 is about 1919.4061581646. The cubic root of 3684120 is about 154.4464472287.

Adding to 3684120 its reverse (214863), we get a palindrome (3898983).

The spelling of 3684120 in words is "three million, six hundred eighty-four thousand, one hundred twenty".