3682656718048 has 432 divisors, whose sum is σ = 9779781110400. Its totient is φ = 1356293030400.

The previous prime is 3682656717881. The next prime is 3682656718049. The reversal of 3682656718048 is 8408176562863.

It is a happy number.

3682656718048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682656718049) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2274648183 + ... + 2274649801.

It is an arithmetic number, because the mean of its divisors is an integer number (22638382200).

Almost surely, 2^{3682656718048} is an apocalyptic number.

3682656718048 is a gapful number since it is divisible by the number (38) 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 3682656718048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889890555200).

3682656718048 is an abundant number, since it is smaller than the sum of its proper divisors (6097124392352).

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

3682656718048 is a wasteful number, since it uses less digits than its factorization.

3682656718048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 3682656718048 in words is "three trillion, six hundred eighty-two billion, six hundred fifty-six million, seven hundred eighteen thousand, forty-eight".