3720 has 32 divisors (see below), whose sum is σ = 11520. Its totient is φ = 960.

The previous prime is 3719. The next prime is 3727. The reversal of 3720 is 273.

3720 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 61²-1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3696 and 3705.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3720.

It is not an unprimeable number, because it can be changed into a prime (3727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105 + ... + 135.

It is an arithmetic number, because the mean of its divisors is an integer number (360).

3720 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 3720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760).

3720 is an abundant number, since it is smaller than the sum of its proper divisors (7800).

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

3720 is a wasteful number, since it uses less digits than its factorization.

3720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3720 is about 60.9918027279. The cubic root of 3720 is about 15.4946217900.

Adding to 3720 its reverse (273), we get a palindrome (3993).

The spelling of 3720 in words is "three thousand, seven hundred twenty", and thus it is an iban number.