350132220 has 120 divisors (see below), whose sum is σ = 1146255264. Its totient is φ = 89299584.

The previous prime is 350132213. The next prime is 350132227. The reversal of 350132220 is 22231053.

It is an interprime number because it is at equal distance from previous prime (350132213) and next prime (350132227).

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 = 350132193 and 350132202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350132227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32562 + ... + 41958.

Almost surely, 2^350132220 is an apocalyptic number.

350132220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573127632).

350132220 is an abundant number, since it is smaller than the sum of its proper divisors (796123044).

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

350132220 is a wasteful number, since it uses less digits than its factorization.

350132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9441 (or 9430 counting only the distinct ones).

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

The square root of 350132220 is about 18711.8203283379. The cubic root of 350132220 is about 704.8186043044.

Adding to 350132220 its reverse (22231053), we get a palindrome (372363273).

It can be divided in two parts, 3501 and 32220, that added together give a square (35721 = 189²).

The spelling of 350132220 in words is "three hundred fifty million, one hundred thirty-two thousand, two hundred twenty".