3868573737600 has 3840 divisors, whose sum is σ = 17933320944000. Its totient is φ = 808206336000.

The previous prime is 3868573737593. The next prime is 3868573737667. The reversal of 3868573737600 is 67373758683.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 63419241570 + ... + 63419241630.

Almost surely, 2^{3868573737600} is an apocalyptic number.

3868573737600 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 3868573737600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8966660472000).

3868573737600 is an abundant number, since it is smaller than the sum of its proper divisors (14064747206400).

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

3868573737600 is a wasteful number, since it uses less digits than its factorization.

3868573737600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 3868573737600 in words is "three trillion, eight hundred sixty-eight billion, five hundred seventy-three million, seven hundred thirty-seven thousand, six hundred".