3795327360 has 512 divisors, whose sum is σ = 15052262400. Its totient is φ = 895795200.

The previous prime is 3795327331. The next prime is 3795327383. The reversal of 3795327360 is 637235973.

3795327360 is a `hidden beast` number, since 379 + 5 + 3 + 273 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7793037 + ... + 7793523.

It is an arithmetic number, because the mean of its divisors is an integer number (29398950).

Almost surely, 2^3795327360 is an apocalyptic number.

3795327360 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 3795327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526131200).

3795327360 is an abundant number, since it is smaller than the sum of its proper divisors (11256935040).

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

3795327360 is a wasteful number, since it uses less digits than its factorization.

3795327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The square root of 3795327360 is about 61606.2282565651. The cubic root of 3795327360 is about 1559.8508733188.

The spelling of 3795327360 in words is "three billion, seven hundred ninety-five million, three hundred twenty-seven thousand, three hundred sixty".