38443742568 has 768 divisors, whose sum is σ = 144105062400. Its totient is φ = 8957952000.

The previous prime is 38443742567. The next prime is 38443742569. The reversal of 38443742568 is 86524734483.

38443742568 is a `hidden beast` number, since 3 + 8 + 4 + 4 + 3 + 74 + 2 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (38443742567) and next prime (38443742569).

It is not an unprimeable number, because it can be changed into a prime (38443742567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 199190280 + ... + 199190472.

It is an arithmetic number, because the mean of its divisors is an integer number (187636800).

Almost surely, 2^38443742568 is an apocalyptic number.

38443742568 is a gapful number since it is divisible by the number (38) 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 38443742568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72052531200).

38443742568 is an abundant number, since it is smaller than the sum of its proper divisors (105661319832).

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

38443742568 is a wasteful number, since it uses less digits than its factorization.

38443742568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 38443742568 in words is "thirty-eight billion, four hundred forty-three million, seven hundred forty-two thousand, five hundred sixty-eight".