336128320 has 84 divisors (see below), whose sum is σ = 879885972. Its totient is φ = 122214400.

The previous prime is 336128311. The next prime is 336128321. The reversal of 336128320 is 23821633.

It can be written as a sum of positive squares in 2 ways, for example, as 203233536 + 132894784 = 14256^2 + 11528^2 .

It is a super-2 number, since 2×336128320² = 225964495012044800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336128321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34380 + ... + 43060.

It is an arithmetic number, because the mean of its divisors is an integer number (10474833).

Almost surely, 2^336128320 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 336128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439942986).

336128320 is an abundant number, since it is smaller than the sum of its proper divisors (543757652).

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

336128320 is a wasteful number, since it uses less digits than its factorization.

336128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8720 (or 8699 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 336128320 is about 18333.8026606594. The cubic root of 336128320 is about 695.2938184553.

Adding to 336128320 its reverse (23821633), we get a palindrome (359949953).

The spelling of 336128320 in words is "three hundred thirty-six million, one hundred twenty-eight thousand, three hundred twenty".