38322112032 has 144 divisors (see below), whose sum is σ = 113816259648. Its totient is φ = 12207951360.

The previous prime is 38322112013. The next prime is 38322112039. The reversal of 38322112032 is 23021122383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38322111987 and 38322112005.

It is not an unprimeable number, because it can be changed into a prime (38322112039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11530723 + ... + 11534045.

It is an arithmetic number, because the mean of its divisors is an integer number (790390692).

Almost surely, 2^38322112032 is an apocalyptic number.

38322112032 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 38322112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56908129824).

38322112032 is an abundant number, since it is smaller than the sum of its proper divisors (75494147616).

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

38322112032 is a wasteful number, since it uses less digits than its factorization.

38322112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103 (or 5092 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 38322112032 in words is "thirty-eight billion, three hundred twenty-two million, one hundred twelve thousand, thirty-two".