3867116781200 has 240 divisors, whose sum is σ = 9623668587456. Its totient is φ = 1492394803200.

The previous prime is 3867116781161. The next prime is 3867116781271. The reversal of 3867116781200 is 21876117683.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 596681960 + ... + 596688440.

Almost surely, 2^{3867116781200} 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 3867116781200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4811834293728).

3867116781200 is an abundant number, since it is smaller than the sum of its proper divisors (5756551806256).

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

3867116781200 is a wasteful number, since it uses less digits than its factorization.

3867116781200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6962 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 50.

The spelling of 3867116781200 in words is "three trillion, eight hundred sixty-seven billion, one hundred sixteen million, seven hundred eighty-one thousand, two hundred".