3720613120 has 216 divisors, whose sum is σ = 10466845704. Its totient is φ = 1263403008.

The previous prime is 3720613097. The next prime is 3720613121. The reversal of 3720613120 is 213160273.

It can be written as a sum of positive squares in 4 ways, for example, as 76317696 + 3644295424 = 8736^2 + 60368^2 .

It is a super-2 number, since 2×3720613120² = 27685923977432268800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3720613121) 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, 8592424 + ... + 8592856.

It is an arithmetic number, because the mean of its divisors is an integer number (48457619).

Almost surely, 2^3720613120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3720613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233422852).

3720613120 is an abundant number, since it is smaller than the sum of its proper divisors (6746232584).

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

3720613120 is a wasteful number, since it uses less digits than its factorization.

3720613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3720613120 is about 60996.8287700271. The cubic root of 3720613120 is about 1549.5473003310.

Adding to 3720613120 its reverse (213160273), we get a palindrome (3933773393).

The spelling of 3720613120 in words is "three billion, seven hundred twenty million, six hundred thirteen thousand, one hundred twenty".