3720120 has 64 divisors (see below), whose sum is σ = 11556000. Its totient is φ = 956928.

The previous prime is 3720113. The next prime is 3720121. The reversal of 3720120 is 210273.

3720120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3720120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2946 + ... + 4014.

Almost surely, 2^3720120 is an apocalyptic number.

3720120 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 3720120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778000).

3720120 is an abundant number, since it is smaller than the sum of its proper divisors (7835880).

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

3720120 is a wasteful number, since it uses less digits than its factorization.

3720120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 3720120 is about 1928.7612604986. The cubic root of 3720120 is about 154.9478839704.

Adding to 3720120 its reverse (210273), we get a palindrome (3930393).

The spelling of 3720120 in words is "three million, seven hundred twenty thousand, one hundred twenty".