3864444134200 has 96 divisors (see below), whose sum is σ = 9988101970560. Its totient is φ = 1380843532800.

The previous prime is 3864444134197. The next prime is 3864444134261. The reversal of 3864444134200 is 24314444683.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23892379 + ... + 24053578.

It is an arithmetic number, because the mean of its divisors is an integer number (104042728860).

Almost surely, 2^{3864444134200} is an apocalyptic number.

It is an amenable number.

3864444134200 is an abundant number, since it is smaller than the sum of its proper divisors (6123657836360).

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

3864444134200 is a wasteful number, since it uses less digits than its factorization.

3864444134200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47946017 (or 47946008 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 43.

Adding to 3864444134200 its reverse (24314444683), we get a palindrome (3888758578883).

The spelling of 3864444134200 in words is "three trillion, eight hundred sixty-four billion, four hundred forty-four million, one hundred thirty-four thousand, two hundred".