3860866627200 has 2304 divisors, whose sum is σ = 16877005516800. Its totient is φ = 828850176000.

The previous prime is 3860866627181. The next prime is 3860866627207. The reversal of 3860866627200 is 27266680683.

It is a happy number.

It is a super-2 number, since 2×3860866627200² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3860866627207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8794684581 + ... + 8794685019.

It is an arithmetic number, because the mean of its divisors is an integer number (7325089200).

Almost surely, 2^{3860866627200} is an apocalyptic number.

3860866627200 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 3860866627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8438502758400).

3860866627200 is an abundant number, since it is smaller than the sum of its proper divisors (13016138889600).

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

3860866627200 is a wasteful number, since it uses less digits than its factorization.

3860866627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3860866627200 in words is "three trillion, eight hundred sixty billion, eight hundred sixty-six million, six hundred twenty-seven thousand, two hundred".