3105137984256 has 432 divisors, whose sum is σ = 11652682769280. Its totient is φ = 806528378880.

The previous prime is 3105137984243. The next prime is 3105137984321. The reversal of 3105137984256 is 6524897315013.

It is a happy number.

3105137984256 is a `hidden beast` number, since 3 + 1 + 0 + 513 + 79 + 8 + 4 + 2 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 3308835 + ... + 4142301.

It is a 1-persistent number, because it is pandigital, but 2⋅3105137984256 = 6210275968512 is not.

Almost surely, 2^{3105137984256} is an apocalyptic number.

3105137984256 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 3105137984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826341384640).

3105137984256 is an abundant number, since it is smaller than the sum of its proper divisors (8547544785024).

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

3105137984256 is a wasteful number, since it uses less digits than its factorization.

3105137984256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833517 (or 833490 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3105137984256 in words is "three trillion, one hundred five billion, one hundred thirty-seven million, nine hundred eighty-four thousand, two hundred fifty-six".