3481858123128 has 192 divisors, whose sum is σ = 12149735136000. Its totient is φ = 904378685760.

The previous prime is 3481858123069. The next prime is 3481858123213. The reversal of 3481858123128 is 8213218581843.

It is a happy number.

3481858123128 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 8 + 581 + 2 + 31 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9332818 + ... + 9698721.

It is an arithmetic number, because the mean of its divisors is an integer number (63279870500).

Almost surely, 2^{3481858123128} is an apocalyptic number.

It is an amenable number.

3481858123128 is an abundant number, since it is smaller than the sum of its proper divisors (8667877012872).

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

3481858123128 is a wasteful number, since it uses less digits than its factorization.

3481858123128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031583 (or 19031562 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 3481858123128 in words is "three trillion, four hundred eighty-one billion, eight hundred fifty-eight million, one hundred twenty-three thousand, one hundred twenty-eight".