8449338320 has 90 divisors (see below), whose sum is σ = 20196693378. Its totient is φ = 3287324544.

The previous prime is 8449338311. The next prime is 8449338329. The reversal of 8449338320 is 238339448.

It is an interprime number because it is at equal distance from previous prime (8449338311) and next prime (8449338329).

It can be written as a sum of positive squares in only one way, i.e., 6759470656 + 1689867664 = 82216^2 + 41108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8449338329) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35352761 + ... + 35352999.

Almost surely, 2^8449338320 is an apocalyptic number.

8449338320 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 8449338320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098346689).

8449338320 is an abundant number, since it is smaller than the sum of its proper divisors (11747355058).

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

8449338320 is an equidigital number, since it uses as much as digits as its factorization.

8449338320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 44.

The square root of 8449338320 is about 91920.2824190614. The cubic root of 8449338320 is about 2036.7648902936.

The spelling of 8449338320 in words is "eight billion, four hundred forty-nine million, three hundred thirty-eight thousand, three hundred twenty".