352413332272 has 80 divisors (see below), whose sum is σ = 743741326080. Its totient is φ = 161090740224.

The previous prime is 352413332231. The next prime is 352413332273. The reversal of 352413332272 is 272233314253.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (352413332273) 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 15 ways as a sum of consecutive naturals, for example, 6080004 + ... + 6137692.

It is an arithmetic number, because the mean of its divisors is an integer number (9296766576).

Almost surely, 2^352413332272 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 352413332272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371870663040).

352413332272 is an abundant number, since it is smaller than the sum of its proper divisors (391327993808).

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

352413332272 is a wasteful number, since it uses less digits than its factorization.

352413332272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58358 (or 58352 counting only the distinct ones).

The product of its digits is 181440, while the sum is 37.

The spelling of 352413332272 in words is "three hundred fifty-two billion, four hundred thirteen million, three hundred thirty-two thousand, two hundred seventy-two".