3682085115114 has 768 divisors, whose sum is σ = 10329062768640. Its totient is φ = 967861923840.

The previous prime is 3682085115073. The next prime is 3682085115133. The reversal of 3682085115114 is 4115115802863.

3682085115114 is a `hidden beast` number, since 3 + 6 + 82 + 0 + 8 + 51 + 1 + 511 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3682085115114.

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 383 ways as a sum of consecutive naturals, for example, 28992796119 + ... + 28992796245.

It is an arithmetic number, because the mean of its divisors is an integer number (13449300480).

Almost surely, 2^{3682085115114} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3682085115114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164531384320).

3682085115114 is an abundant number, since it is smaller than the sum of its proper divisors (6646977653526).

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

3682085115114 is a wasteful number, since it uses less digits than its factorization.

3682085115114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 3682085115114 in words is "three trillion, six hundred eighty-two billion, eighty-five million, one hundred fifteen thousand, one hundred fourteen".