3428116185312 has 288 divisors, whose sum is σ = 12629903569920. Its totient is φ = 856533242880.

The previous prime is 3428116185259. The next prime is 3428116185313. The reversal of 3428116185312 is 2135816118243.

3428116185312 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 11 + 618 + 5 + 3 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3428116185313) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2944264 + ... + 3940167.

It is an arithmetic number, because the mean of its divisors is an integer number (43853831840).

Almost surely, 2^{3428116185312} is an apocalyptic number.

3428116185312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3428116185312 is an abundant number, since it is smaller than the sum of its proper divisors (9201787384608).

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

3428116185312 is a wasteful number, since it uses less digits than its factorization.

3428116185312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884486 (or 6884475 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 3428116185312 in words is "three trillion, four hundred twenty-eight billion, one hundred sixteen million, one hundred eighty-five thousand, three hundred twelve".