3938386962312 has 192 divisors, whose sum is σ = 11678767027200. Its totient is φ = 1189085546880.

The previous prime is 3938386962311. The next prime is 3938386962337. The reversal of 3938386962312 is 2132696838393.

3938386962312 is a `hidden beast` number, since 393 + 8 + 3 + 8 + 6 + 9 + 6 + 231 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3938386962312.

It is not an unprimeable number, because it can be changed into a prime (3938386962311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319072413 + ... + 319084755.

It is an arithmetic number, because the mean of its divisors is an integer number (60826911600).

Almost surely, 2^{3938386962312} 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 3938386962312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5839383513600).

3938386962312 is an abundant number, since it is smaller than the sum of its proper divisors (7740380064888).

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

3938386962312 is a wasteful number, since it uses less digits than its factorization.

3938386962312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13808 (or 13801 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 63.

The spelling of 3938386962312 in words is "three trillion, nine hundred thirty-eight billion, three hundred eighty-six million, nine hundred sixty-two thousand, three hundred twelve".