3838981532672 has 352 divisors, whose sum is σ = 9316687371264. Its totient is φ = 1557887385600.

The previous prime is 3838981532671. The next prime is 3838981532681. The reversal of 3838981532672 is 2762351898383.

It is a tau number, because it is divible by the number of its divisors (352).

It is a junction number, because it is equal to n+sod(n) for n = 3838981532599 and 3838981532608.

It is not an unprimeable number, because it can be changed into a prime (3838981532671) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 551020133 + ... + 551027099.

Almost surely, 2^{3838981532672} is an apocalyptic number.

3838981532672 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 3838981532672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658343685632).

3838981532672 is an abundant number, since it is smaller than the sum of its proper divisors (5477705838592).

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

3838981532672 is a wasteful number, since it uses less digits than its factorization.

3838981532672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7117 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 65.

The spelling of 3838981532672 in words is "three trillion, eight hundred thirty-eight billion, nine hundred eighty-one million, five hundred thirty-two thousand, six hundred seventy-two".