38860721648224 has 96 divisors (see below), whose sum is σ = 87807425836032. Its totient is φ = 16584000000000.

The previous prime is 38860721648171. The next prime is 38860721648227. The reversal of 38860721648224 is 42284612706883.

It is a happy number.

38860721648224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38860721648227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224865849 + ... + 225038599.

It is an arithmetic number, because the mean of its divisors is an integer number (914660685792).

Almost surely, 2^{38860721648224} 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 38860721648224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43903712918016).

38860721648224 is an abundant number, since it is smaller than the sum of its proper divisors (48946704187808).

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

38860721648224 is a wasteful number, since it uses less digits than its factorization.

38860721648224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177020 (or 177012 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 61.

The spelling of 38860721648224 in words is "thirty-eight trillion, eight hundred sixty billion, seven hundred twenty-one million, six hundred forty-eight thousand, two hundred twenty-four".