3681010599168 has 288 divisors, whose sum is σ = 11406061578240. Its totient is φ = 1032141496320.

The previous prime is 3681010599157. The next prime is 3681010599179. The reversal of 3681010599168 is 8619950101863.

It is an interprime number because it is at equal distance from previous prime (3681010599157) and next prime (3681010599179).

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, 96872653 + ... + 96910643.

It is an arithmetic number, because the mean of its divisors is an integer number (39604380480).

Almost surely, 2^{3681010599168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681010599168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703030789120).

3681010599168 is an abundant number, since it is smaller than the sum of its proper divisors (7725050979072).

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

3681010599168 is a wasteful number, since it uses less digits than its factorization.

3681010599168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38353 (or 38339 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 57.

The spelling of 3681010599168 in words is "three trillion, six hundred eighty-one billion, ten million, five hundred ninety-nine thousand, one hundred sixty-eight".