3687326711136 has 192 divisors, whose sum is σ = 10821405772800. Its totient is φ = 1221491778048.

The previous prime is 3687326711039. The next prime is 3687326711147. The reversal of 3687326711136 is 6311176237863.

3687326711136 is a `hidden beast` number, since 368 + 7 + 3 + 267 + 1 + 1 + 13 + 6 = 666.

3687326711136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557078835 + ... + 557085453.

It is an arithmetic number, because the mean of its divisors is an integer number (56361488400).

Almost surely, 2^{3687326711136} is an apocalyptic number.

3687326711136 is a gapful number since it is divisible by the number (36) 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 3687326711136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410702886400).

3687326711136 is an abundant number, since it is smaller than the sum of its proper divisors (7134079061664).

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

3687326711136 is a wasteful number, since it uses less digits than its factorization.

3687326711136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10538 (or 10524 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 3687326711136 in words is "three trillion, six hundred eighty-seven billion, three hundred twenty-six million, seven hundred eleven thousand, one hundred thirty-six".