8398138320 has 1120 divisors, whose sum is σ = 36886389120. Its totient is φ = 1746800640.

The previous prime is 8398138313. The next prime is 8398138361. The reversal of 8398138320 is 238318938.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 158455414 + ... + 158455466.

It is an arithmetic number, because the mean of its divisors is an integer number (32934276).

Almost surely, 2^8398138320 is an apocalyptic number.

8398138320 is a gapful number since it is divisible by the number (80) 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 8398138320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443194560).

8398138320 is an abundant number, since it is smaller than the sum of its proper divisors (28488250800).

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

8398138320 is a wasteful number, since it uses less digits than its factorization.

8398138320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8398138320 is about 91641.3570392757. The cubic root of 8398138320 is about 2032.6425275523.

The spelling of 8398138320 in words is "eight billion, three hundred ninety-eight million, one hundred thirty-eight thousand, three hundred twenty".