8738438760 has 320 divisors, whose sum is σ = 30892752000. Its totient is φ = 2211162624.

The previous prime is 8738438749. The next prime is 8738438831. The reversal of 8738438760 is 678348378.

8738438760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 8738438697 and 8738438706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11103087 + ... + 11103873.

It is an arithmetic number, because the mean of its divisors is an integer number (96539850).

Almost surely, 2^8738438760 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 8738438760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15446376000).

8738438760 is an abundant number, since it is smaller than the sum of its proper divisors (22154313240).

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

8738438760 is a wasteful number, since it uses less digits than its factorization.

8738438760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 8738438760 is about 93479.6168156460. The cubic root of 8738438760 is about 2059.7346847798.

The spelling of 8738438760 in words is "eight billion, seven hundred thirty-eight million, four hundred thirty-eight thousand, seven hundred sixty".