38105784960 has 128 divisors (see below), whose sum is σ = 124745184000. Its totient is φ = 9886887936.

The previous prime is 38105784919. The next prime is 38105784967. The reversal of 38105784960 is 6948750183.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (38105784967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197160 + ... + 339239.

It is an arithmetic number, because the mean of its divisors is an integer number (974571750).

Almost surely, 2^38105784960 is an apocalyptic number.

38105784960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38105784960 is an abundant number, since it is smaller than the sum of its proper divisors (86639399040).

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

38105784960 is a wasteful number, since it uses less digits than its factorization.

38105784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536458 (or 536446 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 38105784960 in words is "thirty-eight billion, one hundred five million, seven hundred eighty-four thousand, nine hundred sixty".