8738341824 has 112 divisors (see below), whose sum is σ = 23453811360. Its totient is φ = 2870968320.

The previous prime is 8738341753. The next prime is 8738341877. The reversal of 8738341824 is 4281438378.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7398514 + ... + 7399694.

It is an arithmetic number, because the mean of its divisors is an integer number (209409030).

Almost surely, 2^8738341824 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 8738341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726905680).

8738341824 is an abundant number, since it is smaller than the sum of its proper divisors (14715469536).

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

8738341824 is a wasteful number, since it uses less digits than its factorization.

8738341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1708 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 8738341824 is about 93479.0983268452. The cubic root of 8738341824 is about 2059.7270685002.

The spelling of 8738341824 in words is "eight billion, seven hundred thirty-eight million, three hundred forty-one thousand, eight hundred twenty-four".