352536576 has 144 divisors (see below), whose sum is σ = 1094249520. Its totient is φ = 100638720.

The previous prime is 352536553. The next prime is 352536593. The reversal of 352536576 is 675635253.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300471 + ... + 301641.

It is an arithmetic number, because the mean of its divisors is an integer number (7598955).

Almost surely, 2^352536576 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 352536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547124760).

352536576 is an abundant number, since it is smaller than the sum of its proper divisors (741712944).

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

352536576 is a wasteful number, since it uses less digits than its factorization.

352536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1183 counting only the distinct ones).

The product of its digits is 567000, while the sum is 42.

The square root of 352536576 is about 18775.9573923675. The cubic root of 352536576 is about 706.4282538964.

The spelling of 352536576 in words is "three hundred fifty-two million, five hundred thirty-six thousand, five hundred seventy-six".