3681119093184 has 448 divisors, whose sum is σ = 11881584852480. Its totient is φ = 1110760611840.

The previous prime is 3681119093159. The next prime is 3681119093207. The reversal of 3681119093184 is 4813909111863.

3681119093184 is a `hidden beast` number, since 368 + 1 + 1 + 19 + 0 + 93 + 184 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3681119093184.

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 63 ways as a sum of consecutive naturals, for example, 255430939 + ... + 255445349.

It is an arithmetic number, because the mean of its divisors is an integer number (26521394760).

Almost surely, 2^{3681119093184} 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 3681119093184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940792426240).

3681119093184 is an abundant number, since it is smaller than the sum of its proper divisors (8200465759296).

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

3681119093184 is a wasteful number, since it uses less digits than its factorization.

3681119093184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14665 (or 14649 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 3681119093184 in words is "three trillion, six hundred eighty-one billion, one hundred nineteen million, ninety-three thousand, one hundred eighty-four".