38960004873216 has 704 divisors, whose sum is σ = 126014027443200. Its totient is φ = 10467219603456.

The previous prime is 38960004873199. The next prime is 38960004873217. The reversal of 38960004873216 is 61237840006983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38960004873217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3718616970 + ... + 3718627446.

Almost surely, 2^{38960004873216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38960004873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63007013721600).

38960004873216 is an abundant number, since it is smaller than the sum of its proper divisors (87054022569984).

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

38960004873216 is a wasteful number, since it uses less digits than its factorization.

38960004873216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10692 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 38960004873216 in words is "thirty-eight trillion, nine hundred sixty billion, four million, eight hundred seventy-three thousand, two hundred sixteen".