3686823638784 has 1728 divisors, whose sum is σ = 13699989209088. Its totient is φ = 936404582400.

The previous prime is 3686823638717. The next prime is 3686823638791. The reversal of 3686823638784 is 4878363286863.

3686823638784 is a `hidden beast` number, since 3 + 6 + 8 + 6 + 8 + 236 + 387 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 29030107329 + ... + 29030107455.

It is an arithmetic number, because the mean of its divisors is an integer number (7928234496).

Almost surely, 2^{3686823638784} is an apocalyptic number.

3686823638784 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 3686823638784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849994604544).

3686823638784 is an abundant number, since it is smaller than the sum of its proper divisors (10013165570304).

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

3686823638784 is a wasteful number, since it uses less digits than its factorization.

3686823638784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 317 counting only the distinct ones).

The product of its digits is 1337720832, while the sum is 72.

The spelling of 3686823638784 in words is "three trillion, six hundred eighty-six billion, eight hundred twenty-three million, six hundred thirty-eight thousand, seven hundred eighty-four".