3716347282560 has 768 divisors, whose sum is σ = 14990096908800. Its totient is φ = 838387630080.

The previous prime is 3716347282553. The next prime is 3716347282561. The reversal of 3716347282560 is 652827436173.

It is a happy number.

3716347282560 is a `hidden beast` number, since 3 + 7 + 1 + 6 + 3 + 4 + 72 + 8 + 2 + 560 = 666.

It is a super-2 number, since 2×3716347282560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3716347282497 and 3716347282506.

It is not an unprimeable number, because it can be changed into a prime (3716347282561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95844297 + ... + 95883063.

It is an arithmetic number, because the mean of its divisors is an integer number (19518355350).

Almost surely, 2^{3716347282560} is an apocalyptic number.

3716347282560 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 3716347282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7495048454400).

3716347282560 is an abundant number, since it is smaller than the sum of its proper divisors (11273749626240).

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

3716347282560 is a wasteful number, since it uses less digits than its factorization.

3716347282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38909 (or 38894 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3716347282560 in words is "three trillion, seven hundred sixteen billion, three hundred forty-seven million, two hundred eighty-two thousand, five hundred sixty".