38618431488 has 384 divisors, whose sum is σ = 137403302400. Its totient is φ = 10178002944.

The previous prime is 38618431487. The next prime is 38618431561. The reversal of 38618431488 is 88413481683.

38618431488 is a `hidden beast` number, since 3 + 8 + 618 + 4 + 3 + 14 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (38618431487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26836273 + ... + 26837711.

It is an arithmetic number, because the mean of its divisors is an integer number (357821100).

Almost surely, 2^38618431488 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 38618431488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68701651200).

38618431488 is an abundant number, since it is smaller than the sum of its proper divisors (98784870912).

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

38618431488 is a wasteful number, since it uses less digits than its factorization.

38618431488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1464 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The spelling of 38618431488 in words is "thirty-eight billion, six hundred eighteen million, four hundred thirty-one thousand, four hundred eighty-eight".