38404025132768 has 72 divisors (see below), whose sum is σ = 79874151341040. Its totient is φ = 18173730286080.

The previous prime is 38404025132761. The next prime is 38404025132771. The reversal of 38404025132768 is 86723152040483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404025132761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10297868 + ... + 13522356.

It is an arithmetic number, because the mean of its divisors is an integer number (1109363213070).

Almost surely, 2^{38404025132768} is an apocalyptic number.

38404025132768 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 38404025132768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39937075670520).

38404025132768 is an abundant number, since it is smaller than the sum of its proper divisors (41470126208272).

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

38404025132768 is a wasteful number, since it uses less digits than its factorization.

38404025132768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225568 (or 3225541 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 38404025132768 in words is "thirty-eight trillion, four hundred four billion, twenty-five million, one hundred thirty-two thousand, seven hundred sixty-eight".