3682718161920 has 1760 divisors, whose sum is σ = 16007317286400. Its totient is φ = 790879666176.

The previous prime is 3682718161909. The next prime is 3682718161937. The reversal of 3682718161920 is 291618172863.

3682718161920 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 7 + 18 + 1 + 619 + 2 + 0 = 666.

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

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 159 ways as a sum of consecutive naturals, for example, 9873238854 + ... + 9873239226.

It is an arithmetic number, because the mean of its divisors is an integer number (9095066640).

Almost surely, 2^{3682718161920} is an apocalyptic number.

3682718161920 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 3682718161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8003658643200).

3682718161920 is an abundant number, since it is smaller than the sum of its proper divisors (12324599124480).

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

3682718161920 is a wasteful number, since it uses less digits than its factorization.

3682718161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 3682718161920 in words is "three trillion, six hundred eighty-two billion, seven hundred eighteen million, one hundred sixty-one thousand, nine hundred twenty".