3106406196180 has 360 divisors, whose sum is σ = 11479433011200. Its totient is φ = 701046493056.

The previous prime is 3106406196161. The next prime is 3106406196193. The reversal of 3106406196180 is 816916046013.

3106406196180 is a `hidden beast` number, since 3 + 10 + 6 + 4 + 0 + 6 + 19 + 618 + 0 = 666.

3106406196180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6023341 + ... + 6518699.

It is an arithmetic number, because the mean of its divisors is an integer number (31887313920).

Almost surely, 2^{3106406196180} is an apocalyptic number.

3106406196180 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 3106406196180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739716505600).

3106406196180 is an abundant number, since it is smaller than the sum of its proper divisors (8373026815020).

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

3106406196180 is a wasteful number, since it uses less digits than its factorization.

3106406196180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495473 (or 495455 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3106406196180 in words is "three trillion, one hundred six billion, four hundred six million, one hundred ninety-six thousand, one hundred eighty".