3481163712 has 672 divisors, whose sum is σ = 12581412480. Its totient is φ = 908328960.

The previous prime is 3481163681. The next prime is 3481163731. The reversal of 3481163712 is 2173611843.

It is a happy number.

3481163712 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 1 + 637 + 12 = 666.

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

Its product of digits (24192) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84906412 + ... + 84906452.

It is an arithmetic number, because the mean of its divisors is an integer number (18722340).

Almost surely, 2^3481163712 is an apocalyptic number.

3481163712 is a gapful number since it is divisible by the number (32) 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 3481163712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6290706240).

3481163712 is an abundant number, since it is smaller than the sum of its proper divisors (9100248768).

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

3481163712 is a wasteful number, since it uses less digits than its factorization.

3481163712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 128 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 3481163712 is about 59001.3873735186. The cubic root of 3481163712 is about 1515.5658677589.

The spelling of 3481163712 in words is "three billion, four hundred eighty-one million, one hundred sixty-three thousand, seven hundred twelve".