38073563136 has 768 divisors, whose sum is σ = 140894208000. Its totient is φ = 9913466880.

The previous prime is 38073563063. The next prime is 38073563159. The reversal of 38073563136 is 63136537083.

38073563136 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 3 + 5 + 631 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 38073563091 and 38073563100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 227985325 + ... + 227985491.

It is an arithmetic number, because the mean of its divisors is an integer number (183456000).

Almost surely, 2^38073563136 is an apocalyptic number.

38073563136 is a gapful number since it is divisible by the number (36) 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 38073563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70447104000).

38073563136 is an abundant number, since it is smaller than the sum of its proper divisors (102820644864).

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

38073563136 is a wasteful number, since it uses less digits than its factorization.

38073563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 38073563136 in words is "thirty-eight billion, seventy-three million, five hundred sixty-three thousand, one hundred thirty-six".