350250120 has 192 divisors, whose sum is σ = 1250346240. Its totient is φ = 84326400.

The previous prime is 350250119. The next prime is 350250127. The reversal of 350250120 is 21052053.

It is a happy number.

350250120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 350250093 and 350250102.

It is not an unprimeable number, because it can be changed into a prime (350250127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954177 + ... + 954543.

It is an arithmetic number, because the mean of its divisors is an integer number (6512220).

Almost surely, 2^350250120 is an apocalyptic number.

350250120 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 350250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625173120).

350250120 is an abundant number, since it is smaller than the sum of its proper divisors (900096120).

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

350250120 is a wasteful number, since it uses less digits than its factorization.

350250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 350250120 is about 18714.9704782027. The cubic root of 350250120 is about 704.8977066008.

The spelling of 350250120 in words is "three hundred fifty million, two hundred fifty thousand, one hundred twenty".