38650029985728 has 448 divisors, whose sum is σ = 142633525248000. Its totient is φ = 10006806002688.

The previous prime is 38650029985673. The next prime is 38650029985753. The reversal of 38650029985728 is 82758992005683.

38650029985728 is a `hidden beast` number, since 3 + 8 + 6 + 500 + 2 + 9 + 98 + 5 + 7 + 28 = 666.

38650029985728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1630033 + ... + 8941871.

Almost surely, 2^{38650029985728} is an apocalyptic number.

38650029985728 is a gapful number since it is divisible by the number (38) 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 38650029985728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71316762624000).

38650029985728 is an abundant number, since it is smaller than the sum of its proper divisors (103983495262272).

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

38650029985728 is a wasteful number, since it uses less digits than its factorization.

38650029985728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7311909 (or 7311893 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 38650029985728 in words is "thirty-eight trillion, six hundred fifty billion, twenty-nine million, nine hundred eighty-five thousand, seven hundred twenty-eight".