352201320 has 48 divisors (see below), whose sum is σ = 1144655460. Its totient is φ = 93920256.

The previous prime is 352201273. The next prime is 352201337. The reversal of 352201320 is 23102253.

352201320 = T₂₀₅ + T₂₀₆ + ... + T₁₂₈₄.

It can be written as a sum of positive squares in 2 ways, for example, as 325513764 + 26687556 = 18042^2 + 5166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 352201293 and 352201302.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488809 + ... + 489528.

Almost surely, 2^352201320 is an apocalyptic number.

352201320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

352201320 is an abundant number, since it is smaller than the sum of its proper divisors (792454140).

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

352201320 is a wasteful number, since it uses less digits than its factorization.

352201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978354 (or 978347 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 352201320 is about 18767.0274684085. The cubic root of 352201320 is about 706.2042493140.

Adding to 352201320 its reverse (23102253), we get a palindrome (375303573).

The spelling of 352201320 in words is "three hundred fifty-two million, two hundred one thousand, three hundred twenty".