350304212160 has 896 divisors, whose sum is σ = 1492417843200. Its totient is φ = 76563615744.

The previous prime is 350304212149. The next prime is 350304212173. The reversal of 350304212160 is 61212403053.

350304212160 is a `hidden beast` number, since 3 + 50 + 30 + 421 + 2 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112672686 + ... + 112675794.

Almost surely, 2^350304212160 is an apocalyptic number.

350304212160 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 350304212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746208921600).

350304212160 is an abundant number, since it is smaller than the sum of its proper divisors (1142113631040).

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

350304212160 is an equidigital number, since it uses as much as digits as its factorization.

350304212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177 (or 3149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 350304212160 in words is "three hundred fifty billion, three hundred four million, two hundred twelve thousand, one hundred sixty".