352344220305 has 192 divisors, whose sum is σ = 744280018944. Its totient is φ = 139149964800.

The previous prime is 352344220289. The next prime is 352344220313. The reversal of 352344220305 is 503022443253.

It is not a de Polignac number, because 352344220305 - 2⁴ = 352344220289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20204940 + ... + 20222370.

It is an arithmetic number, because the mean of its divisors is an integer number (3876458432).

Almost surely, 2^352344220305 is an apocalyptic number.

352344220305 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

352344220305 is an abundant number, since it is smaller than the sum of its proper divisors (391935798639).

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

352344220305 is a wasteful number, since it uses less digits than its factorization.

352344220305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17548 (or 17537 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 33.

Adding to 352344220305 its reverse (503022443253), we get a palindrome (855366663558).

The spelling of 352344220305 in words is "three hundred fifty-two billion, three hundred forty-four million, two hundred twenty thousand, three hundred five".