350224300800 has 540 divisors, whose sum is σ = 1412683525176. Its totient is φ = 84901478400.

The previous prime is 350224300793. The next prime is 350224300831. The reversal of 350224300800 is 8003422053.

350224300800 is a `hidden beast` number, since 350 + 2 + 2 + 4 + 300 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5671692 + ... + 5733108.

Almost surely, 2^350224300800 is an apocalyptic number.

350224300800 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 350224300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706341762588).

350224300800 is an abundant number, since it is smaller than the sum of its proper divisors (1062459224376).

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

350224300800 is a wasteful number, since it uses less digits than its factorization.

350224300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61466 (or 61438 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 350224300800 its reverse (8003422053), we get a palindrome (358227722853).

The spelling of 350224300800 in words is "three hundred fifty billion, two hundred twenty-four million, three hundred thousand, eight hundred".