3181713138408 has 384 divisors, whose sum is σ = 10348194960000. Its totient is φ = 809038927872.

The previous prime is 3181713138361. The next prime is 3181713138463. The reversal of 3181713138408 is 8048313171813.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23908758 + ... + 24041466.

It is an arithmetic number, because the mean of its divisors is an integer number (26948424375).

Almost surely, 2^{3181713138408} is an apocalyptic number.

3181713138408 is a gapful number since it is divisible by the number (38) 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 3181713138408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5174097480000).

3181713138408 is an abundant number, since it is smaller than the sum of its proper divisors (7166481821592).

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

3181713138408 is a wasteful number, since it uses less digits than its factorization.

3181713138408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132817 (or 132806 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 3181713138408 in words is "three trillion, one hundred eighty-one billion, seven hundred thirteen million, one hundred thirty-eight thousand, four hundred eight".