38863090728000 has 4032 divisors, whose sum is σ = 183768752713728. Its totient is φ = 7664025600000.

The previous prime is 38863090727971. The next prime is 38863090728037. The reversal of 38863090728000 is 82709036883.

38863090728000 is a `hidden beast` number, since 388 + 6 + 30 + 90 + 72 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 115320743832 + ... + 115320744168.

Almost surely, 2^{38863090728000} is an apocalyptic number.

38863090728000 is a gapful number since it is divisible by the number (30) 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 38863090728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91884376356864).

38863090728000 is an abundant number, since it is smaller than the sum of its proper divisors (144905661985728).

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

38863090728000 is a wasteful number, since it uses less digits than its factorization.

38863090728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 38863090728000 in words is "thirty-eight trillion, eight hundred sixty-three billion, ninety million, seven hundred twenty-eight thousand".