328436070240 has 192 divisors, whose sum is σ = 1093371229440. Its totient is φ = 82642176000.

The previous prime is 328436070227. The next prime is 328436070241. The reversal of 328436070240 is 42070634823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328436070241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2217382 + ... + 2360858.

It is an arithmetic number, because the mean of its divisors is an integer number (5694641820).

Almost surely, 2^328436070240 is an apocalyptic number.

328436070240 is a gapful number since it is divisible by the number (30) 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 328436070240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546685614720).

328436070240 is an abundant number, since it is smaller than the sum of its proper divisors (764935159200).

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

328436070240 is a wasteful number, since it uses less digits than its factorization.

328436070240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143765 (or 143757 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 328436070240 in words is "three hundred twenty-eight billion, four hundred thirty-six million, seventy thousand, two hundred forty".