39338642112 has 448 divisors, whose sum is σ = 142558617600. Its totient is φ = 9257656320.

The previous prime is 39338642053. The next prime is 39338642117. The reversal of 39338642112 is 21124683393.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (39338642117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6457564 + ... + 6463652.

It is an arithmetic number, because the mean of its divisors is an integer number (318211200).

Almost surely, 2^39338642112 is an apocalyptic number.

39338642112 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 39338642112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71279308800).

39338642112 is an abundant number, since it is smaller than the sum of its proper divisors (103219975488).

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

39338642112 is a wasteful number, since it uses less digits than its factorization.

39338642112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164 (or 6154 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The spelling of 39338642112 in words is "thirty-nine billion, three hundred thirty-eight million, six hundred forty-two thousand, one hundred twelve".