3481133184 has 192 divisors, whose sum is σ = 10668996000. Its totient is φ = 1086345216.

The previous prime is 3481133179. The next prime is 3481133209. The reversal of 3481133184 is 4813311843.

It is a happy number.

3481133184 is a `hidden beast` number, since 348 + 1 + 133 + 184 = 666.

3481133184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1947139 + ... + 1948925.

Almost surely, 2^3481133184 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 3481133184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334498000).

3481133184 is an abundant number, since it is smaller than the sum of its proper divisors (7187862816).

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

3481133184 is a wasteful number, since it uses less digits than its factorization.

3481133184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1900 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3481133184 is about 59001.1286671704. The cubic root of 3481133184 is about 1515.5614375038.

The spelling of 3481133184 in words is "three billion, four hundred eighty-one million, one hundred thirty-three thousand, one hundred eighty-four".