3845327360560 has 160 divisors (see below), whose sum is σ = 10372493260800. Its totient is φ = 1298418840576.

The previous prime is 3845327360551. The next prime is 3845327360603. The reversal of 3845327360560 is 650637235483.

It is a junction number, because it is equal to n+sod(n) for n = 3845327360498 and 3845327360507.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211866366 + ... + 211884514.

It is an arithmetic number, because the mean of its divisors is an integer number (64828082880).

Almost surely, 2^{3845327360560} 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 3845327360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186246630400).

3845327360560 is an abundant number, since it is smaller than the sum of its proper divisors (6527165900240).

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

3845327360560 is a wasteful number, since it uses less digits than its factorization.

3845327360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23883 (or 23877 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 52.

The spelling of 3845327360560 in words is "three trillion, eight hundred forty-five billion, three hundred twenty-seven million, three hundred sixty thousand, five hundred sixty".