3631086502680 has 256 divisors, whose sum is σ = 13445518464000. Its totient is φ = 763923363840.

The previous prime is 3631086502633. The next prime is 3631086502709. The reversal of 3631086502680 is 862056801363.

3631086502680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1905541²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3334695 + ... + 4287465.

It is an arithmetic number, because the mean of its divisors is an integer number (52521556500).

Almost surely, 2^{3631086502680} is an apocalyptic number.

3631086502680 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 3631086502680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722759232000).

3631086502680 is an abundant number, since it is smaller than the sum of its proper divisors (9814431961320).

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

3631086502680 is a wasteful number, since it uses less digits than its factorization.

3631086502680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953154 (or 953150 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3631086502680 in words is "three trillion, six hundred thirty-one billion, eighty-six million, five hundred two thousand, six hundred eighty".