38676381072288 has 96 divisors (see below), whose sum is σ = 101702283927552. Its totient is φ = 12869681664000.

The previous prime is 38676381072271. The next prime is 38676381072403. The reversal of 38676381072288 is 88227018367683.

38676381072288 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 1481216353 + ... + 1481242463.

It is an arithmetic number, because the mean of its divisors is an integer number (1059398790912).

Almost surely, 2^{38676381072288} is an apocalyptic number.

It is an amenable number.

38676381072288 is an abundant number, since it is smaller than the sum of its proper divisors (63025902855264).

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

38676381072288 is a wasteful number, since it uses less digits than its factorization.

38676381072288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52398 (or 52390 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 69.

The spelling of 38676381072288 in words is "thirty-eight trillion, six hundred seventy-six billion, three hundred eighty-one million, seventy-two thousand, two hundred eighty-eight".