3816273679200 has 576 divisors, whose sum is σ = 13881836505600. Its totient is φ = 1011821414400.

The previous prime is 3816273679147. The next prime is 3816273679241. The reversal of 3816273679200 is 29763726183.

3816273679200 is a `hidden beast` number, since 3 + 8 + 1 + 627 + 3 + 6 + 7 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4055550730 + ... + 4055551670.

It is an arithmetic number, because the mean of its divisors is an integer number (24100410600).

Almost surely, 2^{3816273679200} is an apocalyptic number.

3816273679200 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 3816273679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6940918252800).

3816273679200 is an abundant number, since it is smaller than the sum of its proper divisors (10065562826400).

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

3816273679200 is a wasteful number, since it uses less digits than its factorization.

3816273679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 3816273679200 in words is "three trillion, eight hundred sixteen billion, two hundred seventy-three million, six hundred seventy-nine thousand, two hundred".