38542833838080 has 1152 divisors, whose sum is σ = 161179682751360. Its totient is φ = 8391756349440.

The previous prime is 38542833838037. The next prime is 38542833838169. The reversal of 38542833838080 is 8083833824583.

38542833838080 is a `hidden beast` number, since 3 + 8 + 542 + 8 + 3 + 3 + 8 + 3 + 8 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 38542833837999 and 38542833838017.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487579039 + ... + 487658081.

It is an arithmetic number, because the mean of its divisors is an integer number (139912919055).

Almost surely, 2^{38542833838080} is an apocalyptic number.

38542833838080 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 38542833838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80589841375680).

38542833838080 is an abundant number, since it is smaller than the sum of its proper divisors (122636848913280).

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

38542833838080 is a wasteful number, since it uses less digits than its factorization.

38542833838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79137 (or 79114 counting only the distinct ones).

The product of its (nonzero) digits is 106168320, while the sum is 63.

The spelling of 38542833838080 in words is "thirty-eight trillion, five hundred forty-two billion, eight hundred thirty-three million, eight hundred thirty-eight thousand, eighty".