3481282231128 has 192 divisors, whose sum is σ = 10219535726400. Its totient is φ = 1064229027840.

The previous prime is 3481282231103. The next prime is 3481282231129. The reversal of 3481282231128 is 8211322821843.

3481282231128 is a `hidden beast` number, since 3 + 481 + 28 + 2 + 23 + 1 + 128 = 666.

3481282231128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3481282231128² (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481282231129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426571368 + ... + 426579528.

It is an arithmetic number, because the mean of its divisors is an integer number (53226748575).

Almost surely, 2^{3481282231128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481282231128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5109767863200).

3481282231128 is an abundant number, since it is smaller than the sum of its proper divisors (6738253495272).

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

3481282231128 is a wasteful number, since it uses less digits than its factorization.

3481282231128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082 (or 11075 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 3481282231128 in words is "three trillion, four hundred eighty-one billion, two hundred eighty-two million, two hundred thirty-one thousand, one hundred twenty-eight".