38376684922464 has 1152 divisors, whose sum is σ = 139269906800640. Its totient is φ = 10051109544960.

The previous prime is 38376684922453. The next prime is 38376684922469. The reversal of 38376684922464 is 46422948667383.

It is a happy number.

38376684922464 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 66 + 84 + 9 + 22 + 464 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 38376684922392 and 38376684922401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38376684922469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14303645667 + ... + 14303648349.

It is an arithmetic number, because the mean of its divisors is an integer number (120894016320).

Almost surely, 2^{38376684922464} 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 38376684922464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69634953400320).

38376684922464 is an abundant number, since it is smaller than the sum of its proper divisors (100893221878176).

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

38376684922464 is a wasteful number, since it uses less digits than its factorization.

38376684922464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2856 counting only the distinct ones).

The product of its digits is 2006581248, while the sum is 72.

The spelling of 38376684922464 in words is "thirty-eight trillion, three hundred seventy-six billion, six hundred eighty-four million, nine hundred twenty-two thousand, four hundred sixty-four".