3720375360 has 560 divisors, whose sum is σ = 14565703152. Its totient is φ = 895795200.

The previous prime is 3720375349. The next prime is 3720375367. The reversal of 3720375360 is 635730273.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2313225216 + 1407150144 = 48096^2 + 37512^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3720375367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20554470 + ... + 20554650.

Almost surely, 2^3720375360 is an apocalyptic number.

3720375360 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 3720375360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282851576).

3720375360 is an abundant number, since it is smaller than the sum of its proper divisors (10845327792).

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

3720375360 is a wasteful number, since it uses less digits than its factorization.

3720375360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 36.

The square root of 3720375360 is about 60994.8797851098. The cubic root of 3720375360 is about 1549.5142924904.

The spelling of 3720375360 in words is "three billion, seven hundred twenty million, three hundred seventy-five thousand, three hundred sixty".