38054382336 has 144 divisors (see below), whose sum is σ = 114119953920. Its totient is φ = 12505973760.

The previous prime is 38054382319. The next prime is 38054382367. The reversal of 38054382336 is 63328345083.

38054382336 is a `hidden beast` number, since 3 + 80 + 543 + 8 + 23 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 38054382291 and 38054382300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 451981 + ... + 529523.

It is an arithmetic number, because the mean of its divisors is an integer number (792499680).

Almost surely, 2^38054382336 is an apocalyptic number.

38054382336 is a gapful number since it is divisible by the number (36) 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 38054382336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57059976960).

38054382336 is an abundant number, since it is smaller than the sum of its proper divisors (76065571584).

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

38054382336 is an equidigital number, since it uses as much as digits as its factorization.

38054382336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77639 (or 77619 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 38054382336 in words is "thirty-eight billion, fifty-four million, three hundred eighty-two thousand, three hundred thirty-six".