38814105768 has 192 divisors, whose sum is σ = 110161036800. Its totient is φ = 11343024000.

The previous prime is 38814105761. The next prime is 38814105809. The reversal of 38814105768 is 86750141883.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38814105768.

It is not an unprimeable number, because it can be changed into a prime (38814105761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10077043 + ... + 10080893.

It is an arithmetic number, because the mean of its divisors is an integer number (573755400).

Almost surely, 2^38814105768 is an apocalyptic number.

38814105768 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 38814105768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080518400).

38814105768 is an abundant number, since it is smaller than the sum of its proper divisors (71346931032).

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

38814105768 is a wasteful number, since it uses less digits than its factorization.

38814105768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3964 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 38814105768 in words is "thirty-eight billion, eight hundred fourteen million, one hundred five thousand, seven hundred sixty-eight".