350041120 has 96 divisors (see below), whose sum is σ = 971611200. Its totient is φ = 117488640.

The previous prime is 350041091. The next prime is 350041121. The reversal of 350041120 is 21140053.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 350041094 and 350041103.

It is not an unprimeable number, because it can be changed into a prime (350041121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15231 + ... + 30529.

It is an arithmetic number, because the mean of its divisors is an integer number (10120950).

Almost surely, 2^350041120 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 350041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485805600).

350041120 is an abundant number, since it is smaller than the sum of its proper divisors (621570080).

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

350041120 is a wasteful number, since it uses less digits than its factorization.

350041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15338 (or 15330 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 350041120 is about 18709.3858798198. The cubic root of 350041120 is about 704.7574706899.

Adding to 350041120 its reverse (21140053), we get a palindrome (371181173).

The spelling of 350041120 in words is "three hundred fifty million, forty-one thousand, one hundred twenty".