350580000 has 120 divisors (see below), whose sum is σ = 1150169328. Its totient is φ = 93472000.

The previous prime is 350579969. The next prime is 350580029. The reversal of 350580000 is 85053.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57079 + ... + 62921.

Almost surely, 2^350580000 is an apocalyptic number.

350580000 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 350580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575084664).

350580000 is an abundant number, since it is smaller than the sum of its proper divisors (799589328).

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

350580000 is an equidigital number, since it uses as much as digits as its factorization.

350580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 350580000 is about 18723.7816693103. The cubic root of 350580000 is about 705.1189377323.

The spelling of 350580000 in words is "three hundred fifty million, five hundred eighty thousand".