352535120 has 160 divisors (see below), whose sum is σ = 1044576000. Its totient is φ = 107716608.

The previous prime is 352535119. The next prime is 352535123. The reversal of 352535120 is 21535253.

It is a self number, because there is not a number n which added to its sum of digits gives 352535120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352535123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179906 + ... + 181854.

It is an arithmetic number, because the mean of its divisors is an integer number (6528600).

Almost surely, 2^352535120 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 352535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522288000).

352535120 is an abundant number, since it is smaller than the sum of its proper divisors (692040880).

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

352535120 is a wasteful number, since it uses less digits than its factorization.

352535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 352535120 is about 18775.9186193379. The cubic root of 352535120 is about 706.4272813628.

The spelling of 352535120 in words is "three hundred fifty-two million, five hundred thirty-five thousand, one hundred twenty".