38825383680000 has 1440 divisors, whose sum is σ = 147021280005600. Its totient is φ = 9867534336000.

The previous prime is 38825383679899. The next prime is 38825383680011. The reversal of 38825383680000 is 8638352883.

38825383680000 is a `hidden beast` number, since 388 + 253 + 8 + 3 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×38825383680000³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 140163839862 + ... + 140163840138.

It is an arithmetic number, because the mean of its divisors is an integer number (102098111115).

Almost surely, 2^{38825383680000} is an apocalyptic number.

38825383680000 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 38825383680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73510640002800).

38825383680000 is an abundant number, since it is smaller than the sum of its proper divisors (108195896325600).

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

38825383680000 is an frugal number, since it uses more digits than its factorization.

38825383680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 38825383680000 in words is "thirty-eight trillion, eight hundred twenty-five billion, three hundred eighty-three million, six hundred eighty thousand".