3141338112 has 330 divisors, whose sum is σ = 10343904494. Its totient is φ = 948879360.

The previous prime is 3141338099. The next prime is 3141338171. The reversal of 3141338112 is 2118331413.

3141338112 is a `hidden beast` number, since 314 + 1 + 338 + 1 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1696121856 + 1445216256 = 41184^2 + 38016^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10036068 + ... + 10036380.

Almost surely, 2^3141338112 is an apocalyptic number.

3141338112 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 3141338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171952247).

3141338112 is an abundant number, since it is smaller than the sum of its proper divisors (7202566382).

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

3141338112 is a wasteful number, since it uses less digits than its factorization.

3141338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 329 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 3141338112 is about 56047.6414490387. The cubic root of 3141338112 is about 1464.5523312327.

Adding to 3141338112 its reverse (2118331413), we get a palindrome (5259669525).

The spelling of 3141338112 in words is "three billion, one hundred forty-one million, three hundred thirty-eight thousand, one hundred twelve".