38385503748 has 84 divisors (see below), whose sum is σ = 100822337868. Its totient is φ = 12781644480.

The previous prime is 38385503743. The next prime is 38385503773. The reversal of 38385503748 is 84730558383.

38385503748 is a `hidden beast` number, since 3 + 83 + 8 + 550 + 3 + 7 + 4 + 8 = 666.

38385503748 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22730989824 + 15654513924 = 150768^2 + 125118^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38385503694 and 38385503703.

It is not an unprimeable number, because it can be changed into a prime (38385503743) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2970790 + ... + 2983682.

It is an arithmetic number, because the mean of its divisors is an integer number (1200265927).

Almost surely, 2^38385503748 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 38385503748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50411168934).

38385503748 is an abundant number, since it is smaller than the sum of its proper divisors (62436834120).

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

38385503748 is a wasteful number, since it uses less digits than its factorization.

38385503748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13936 (or 13919 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 38385503748 in words is "thirty-eight billion, three hundred eighty-five million, five hundred three thousand, seven hundred forty-eight".