3681311760000 has 640 divisors, whose sum is σ = 15516500630400. Its totient is φ = 841439232000.

The previous prime is 3681311759959. The next prime is 3681311760019. The reversal of 3681311760000 is 671131863.

3681311760000 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 31 + 17 + 600 + 0 + 0 = 666.

3681311760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14998264 + ... + 15241736.

It is an arithmetic number, because the mean of its divisors is an integer number (24244532235).

Almost surely, 2^{3681311760000} is an apocalyptic number.

3681311760000 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 3681311760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7758250315200).

3681311760000 is an abundant number, since it is smaller than the sum of its proper divisors (11835188870400).

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

3681311760000 is an equidigital number, since it uses as much as digits as its factorization.

3681311760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243523 (or 243490 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 3681311760000 its reverse (671131863), we get a palindrome (3681982891863).

The spelling of 3681311760000 in words is "three trillion, six hundred eighty-one billion, three hundred eleven million, seven hundred sixty thousand".