3865382501112 has 512 divisors, whose sum is σ = 12639670272000. Its totient is φ = 1082799843840.

The previous prime is 3865382501093. The next prime is 3865382501117. The reversal of 3865382501112 is 2111052835683.

3865382501112 is a `hidden beast` number, since 3 + 8 + 6 + 53 + 82 + 501 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3865382501117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194045089 + ... + 194065007.

It is an arithmetic number, because the mean of its divisors is an integer number (24686856000).

Almost surely, 2^{3865382501112} 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 3865382501112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6319835136000).

3865382501112 is an abundant number, since it is smaller than the sum of its proper divisors (8774287770888).

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

3865382501112 is a wasteful number, since it uses less digits than its factorization.

3865382501112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20088 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 3865382501112 in words is "three trillion, eight hundred sixty-five billion, three hundred eighty-two million, five hundred one thousand, one hundred twelve".