350442120 has 192 divisors, whose sum is σ = 1236617280. Its totient is φ = 79209984.

The previous prime is 350442109. The next prime is 350442143. The reversal of 350442120 is 21244053.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 628882 + ... + 629438.

It is an arithmetic number, because the mean of its divisors is an integer number (6440715).

Almost surely, 2^350442120 is an apocalyptic number.

350442120 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 350442120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618308640).

350442120 is an abundant number, since it is smaller than the sum of its proper divisors (886175160).

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

350442120 is a wasteful number, since it uses less digits than its factorization.

350442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 350442120 is about 18720.0993587107. The cubic root of 350442120 is about 705.0264866061.

Adding to 350442120 its reverse (21244053), we get a palindrome (371686173).

The spelling of 350442120 in words is "three hundred fifty million, four hundred forty-two thousand, one hundred twenty".