38173306752 has 960 divisors, whose sum is σ = 144454717440. Its totient is φ = 9786562560.

The previous prime is 38173306681. The next prime is 38173306777. The reversal of 38173306752 is 25760337183.

It is a junction number, because it is equal to n+sod(n) for n = 38173306698 and 38173306707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 812197993 + ... + 812198039.

It is an arithmetic number, because the mean of its divisors is an integer number (150473664).

Almost surely, 2^38173306752 is an apocalyptic number.

38173306752 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 38173306752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72227358720).

38173306752 is an abundant number, since it is smaller than the sum of its proper divisors (106281410688).

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

38173306752 is a wasteful number, since it uses less digits than its factorization.

38173306752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 38173306752 in words is "thirty-eight billion, one hundred seventy-three million, three hundred six thousand, seven hundred fifty-two".