350085120 has 448 divisors, whose sum is σ = 1434364416. Its totient is φ = 70778880.

The previous prime is 350085091. The next prime is 350085133. The reversal of 350085120 is 21580053.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461742 + ... + 9461778.

Almost surely, 2^350085120 is an apocalyptic number.

350085120 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 350085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717182208).

350085120 is an abundant number, since it is smaller than the sum of its proper divisors (1084279296).

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

350085120 is a wasteful number, since it uses less digits than its factorization.

350085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 350085120 is about 18710.5617232621. The cubic root of 350085120 is about 704.7869986775.

The spelling of 350085120 in words is "three hundred fifty million, eighty-five thousand, one hundred twenty".