38816546477742 has 96 divisors (see below), whose sum is σ = 95169548073600. Its totient is φ = 11759713578720.

The previous prime is 38816546477741. The next prime is 38816546477773. The reversal of 38816546477742 is 24777464561883.

38816546477742 is a `hidden beast` number, since 3 + 8 + 8 + 1 + 6 + 546 + 4 + 7 + 7 + 74 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38816546477741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21027568 + ... + 22798940.

It is an arithmetic number, because the mean of its divisors is an integer number (991349459100).

Almost surely, 2^{38816546477742} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38816546477742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47584774036800).

38816546477742 is an abundant number, since it is smaller than the sum of its proper divisors (56353001595858).

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

38816546477742 is a wasteful number, since it uses less digits than its factorization.

38816546477742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775500 (or 1775488 counting only the distinct ones).

The product of its digits is 1517322240, while the sum is 72.

The spelling of 38816546477742 in words is "thirty-eight trillion, eight hundred sixteen billion, five hundred forty-six million, four hundred seventy-seven thousand, seven hundred forty-two".