3481268112 has 480 divisors, whose sum is σ = 12366172800. Its totient is φ = 933424128.

The previous prime is 3481268053. The next prime is 3481268117. The reversal of 3481268112 is 2118621843.

3481268112 is a `hidden beast` number, since 3 + 481 + 2 + 68 + 112 = 666.

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 not an unprimeable number, because it can be changed into a prime (3481268117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32535163 + ... + 32535269.

It is an arithmetic number, because the mean of its divisors is an integer number (25762860).

Almost surely, 2^3481268112 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 3481268112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6183086400).

3481268112 is an abundant number, since it is smaller than the sum of its proper divisors (8884904688).

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

3481268112 is a wasteful number, since it uses less digits than its factorization.

3481268112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 201 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 3481268112 is about 59002.2720918441. The cubic root of 3481268112 is about 1515.5810181998.

Adding to 3481268112 its reverse (2118621843), we get a palindrome (5599889955).

The spelling of 3481268112 in words is "three billion, four hundred eighty-one million, two hundred sixty-eight thousand, one hundred twelve".