38984647968 has 144 divisors (see below), whose sum is σ = 127114827840. Its totient is φ = 11102012928.

The previous prime is 38984647951. The next prime is 38984647973. The reversal of 38984647968 is 86974648983.

38984647968 is a `hidden beast` number, since 3 + 8 + 98 + 4 + 6 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 38984647896 and 38984647905.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 587418 + ... + 650406.

It is an arithmetic number, because the mean of its divisors is an integer number (882741860).

Almost surely, 2^38984647968 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 38984647968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63557413920).

38984647968 is an abundant number, since it is smaller than the sum of its proper divisors (88130179872).

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

38984647968 is a wasteful number, since it uses less digits than its factorization.

38984647968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63319 (or 63308 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 38984647968 in words is "thirty-eight billion, nine hundred eighty-four million, six hundred forty-seven thousand, nine hundred sixty-eight".