3105946432512 has 2112 divisors, whose sum is σ = 12360730567680. Its totient is φ = 760828723200.

The previous prime is 3105946432487. The next prime is 3105946432529. The reversal of 3105946432512 is 2152346495013.

3105946432512 is a `hidden beast` number, since 3 + 1 + 0 + 5 + 94 + 6 + 43 + 2 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23709514687 + ... + 23709514817.

It is an arithmetic number, because the mean of its divisors is an integer number (5852618640).

Almost surely, 2^{3105946432512} is an apocalyptic number.

3105946432512 is a gapful number since it is divisible by the number (32) 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 3105946432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180365283840).

3105946432512 is an abundant number, since it is smaller than the sum of its proper divisors (9254784135168).

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

3105946432512 is a wasteful number, since it uses less digits than its factorization.

3105946432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3105946432512 in words is "three trillion, one hundred five billion, nine hundred forty-six million, four hundred thirty-two thousand, five hundred twelve".