38331629952 has 768 divisors, whose sum is σ = 140017766400. Its totient is φ = 8999424000.

The previous prime is 38331629939. The next prime is 38331629957. The reversal of 38331629952 is 25992613383.

Its product of digits (2099520) is a multiple of the sum of its prime divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38331629895 and 38331629904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38331629957) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 539882077 + ... + 539882147.

It is an arithmetic number, because the mean of its divisors is an integer number (182314800).

Almost surely, 2^38331629952 is an apocalyptic number.

38331629952 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 38331629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70008883200).

38331629952 is an abundant number, since it is smaller than the sum of its proper divisors (101686136448).

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

38331629952 is a wasteful number, since it uses less digits than its factorization.

38331629952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 51.

The spelling of 38331629952 in words is "thirty-eight billion, three hundred thirty-one million, six hundred twenty-nine thousand, nine hundred fifty-two".