3816668419200 has 2304 divisors, whose sum is σ = 17537140051200. Its totient is φ = 803528294400.

The previous prime is 3816668419183. The next prime is 3816668419261. The reversal of 3816668419200 is 29148666183.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8279106970 + ... + 8279107430.

It is an arithmetic number, because the mean of its divisors is an integer number (7611605925).

Almost surely, 2^{3816668419200} is an apocalyptic number.

3816668419200 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 3816668419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8768570025600).

3816668419200 is an abundant number, since it is smaller than the sum of its proper divisors (13720471632000).

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

3816668419200 is an equidigital number, since it uses as much as digits as its factorization.

3816668419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 3816668419200 in words is "three trillion, eight hundred sixteen billion, six hundred sixty-eight million, four hundred nineteen thousand, two hundred".