3085828642206 has 192 divisors, whose sum is σ = 7190995968000. Its totient is φ = 954211104000.

The previous prime is 3085828642199. The next prime is 3085828642213. The reversal of 3085828642206 is 6022468285803.

It is a happy number.

3085828642206 is a `hidden beast` number, since 30 + 8 + 582 + 8 + 6 + 4 + 2 + 20 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3085828642199) and next prime (3085828642213).

It is a congruent number.

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, 2257372135 + ... + 2257373501.

It is an arithmetic number, because the mean of its divisors is an integer number (37453104000).

Almost surely, 2^{3085828642206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3085828642206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3595497984000).

3085828642206 is an abundant number, since it is smaller than the sum of its proper divisors (4105167325794).

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

3085828642206 is a wasteful number, since it uses less digits than its factorization.

3085828642206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3085828642206 in words is "three trillion, eighty-five billion, eight hundred twenty-eight million, six hundred forty-two thousand, two hundred six".