38442439776384 has 512 divisors, whose sum is σ = 134904034099200. Its totient is φ = 10545525043200.

The previous prime is 38442439776373. The next prime is 38442439776397. The reversal of 38442439776384 is 48367793424483.

38442439776384 is a `hidden beast` number, since 3 + 8 + 4 + 42 + 439 + 7 + 76 + 3 + 84 = 666.

38442439776384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 95042094 + ... + 95445714.

It is an arithmetic number, because the mean of its divisors is an integer number (263484441600).

Almost surely, 2^{38442439776384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38442439776384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67452017049600).

38442439776384 is an abundant number, since it is smaller than the sum of its proper divisors (96461594322816).

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

38442439776384 is a wasteful number, since it uses less digits than its factorization.

38442439776384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403809 (or 403791 counting only the distinct ones).

The product of its digits is 2341011456, while the sum is 72.

The spelling of 38442439776384 in words is "thirty-eight trillion, four hundred forty-two billion, four hundred thirty-nine million, seven hundred seventy-six thousand, three hundred eighty-four".