3816741875184 has 480 divisors, whose sum is σ = 13415947324416. Its totient is φ = 1025461555200.

The previous prime is 3816741875129. The next prime is 3816741875207. The reversal of 3816741875184 is 4815781476183.

3816741875184 is a `hidden beast` number, since 3 + 8 + 167 + 418 + 7 + 51 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 669483534 + ... + 669489234.

Almost surely, 2^{3816741875184} is an apocalyptic number.

3816741875184 is a gapful number since it is divisible by the number (34) 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 3816741875184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707973662208).

3816741875184 is an abundant number, since it is smaller than the sum of its proper divisors (9599205449232).

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

3816741875184 is a wasteful number, since it uses less digits than its factorization.

3816741875184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7177 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 63.

The spelling of 3816741875184 in words is "three trillion, eight hundred sixteen billion, seven hundred forty-one million, eight hundred seventy-five thousand, one hundred eighty-four".