38773664832 has 112 divisors (see below), whose sum is σ = 117297037440. Its totient is φ = 11073196032.

The previous prime is 38773664779. The next prime is 38773664833. The reversal of 38773664832 is 23846637783.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is not an unprimeable number, because it can be changed into a prime (38773664833) 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, 3807844 + ... + 3818012.

Almost surely, 2^38773664832 is an apocalyptic number.

38773664832 is a gapful number since it is divisible by the number (32) 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 38773664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58648518720).

38773664832 is an abundant number, since it is smaller than the sum of its proper divisors (78523372608).

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

38773664832 is a wasteful number, since it uses less digits than its factorization.

38773664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13028 (or 13018 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 57.

The spelling of 38773664832 in words is "thirty-eight billion, seven hundred seventy-three million, six hundred sixty-four thousand, eight hundred thirty-two".