43738871568 has 320 divisors, whose sum is σ = 142490880000. Its totient is φ = 11516069376.

The previous prime is 43738871567. The next prime is 43738871611. The reversal of 43738871568 is 86517883734.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (43738871567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11572303 + ... + 11576081.

It is an arithmetic number, because the mean of its divisors is an integer number (445284000).

Almost surely, 2^43738871568 is an apocalyptic number.

43738871568 is a gapful number since it is divisible by the number (48) 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 43738871568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440000).

43738871568 is an abundant number, since it is smaller than the sum of its proper divisors (98752008432).

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

43738871568 is a wasteful number, since it uses less digits than its factorization.

43738871568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3847 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The spelling of 43738871568 in words is "forty-three billion, seven hundred thirty-eight million, eight hundred seventy-one thousand, five hundred sixty-eight".