38929306752 has 384 divisors, whose sum is σ = 138280176000. Its totient is φ = 10737764352.

The previous prime is 38929306729. The next prime is 38929306753. The reversal of 38929306752 is 25760392983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38929306753) 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 47 ways as a sum of consecutive naturals, for example, 4907013 + ... + 4914939.

It is an arithmetic number, because the mean of its divisors is an integer number (360104625).

Almost surely, 2^38929306752 is an apocalyptic number.

38929306752 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 38929306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69140088000).

38929306752 is an abundant number, since it is smaller than the sum of its proper divisors (99350869248).

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

38929306752 is a wasteful number, since it uses less digits than its factorization.

38929306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 38929306752 in words is "thirty-eight billion, nine hundred twenty-nine million, three hundred six thousand, seven hundred fifty-two".