3083685678216 has 384 divisors, whose sum is σ = 10424425939200. Its totient is φ = 810313943040.

The previous prime is 3083685678197. The next prime is 3083685678277. The reversal of 3083685678216 is 6128765863803.

It is a happy number.

3083685678216 is a `hidden beast` number, since 3 + 0 + 8 + 3 + 68 + 567 + 8 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10908045 + ... + 11187171.

It is an arithmetic number, because the mean of its divisors is an integer number (27146942550).

Almost surely, 2^{3083685678216} is an apocalyptic number.

3083685678216 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 3083685678216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5212212969600).

3083685678216 is an abundant number, since it is smaller than the sum of its proper divisors (7340740260984).

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

3083685678216 is a wasteful number, since it uses less digits than its factorization.

3083685678216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279229 (or 279222 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3083685678216 in words is "three trillion, eighty-three billion, six hundred eighty-five million, six hundred seventy-eight thousand, two hundred sixteen".