350500800 has 336 divisors, whose sum is σ = 1277855712. Its totient is φ = 83558400.

The previous prime is 350500789. The next prime is 350500807. The reversal of 350500800 is 8005053.

350500800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350500807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2558332 + ... + 2558468.

It is an arithmetic number, because the mean of its divisors is an integer number (3803142).

Almost surely, 2^350500800 is an apocalyptic number.

350500800 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 350500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638927856).

350500800 is an abundant number, since it is smaller than the sum of its proper divisors (927354912).

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

350500800 is a wasteful number, since it uses less digits than its factorization.

350500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

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

The square root of 350500800 is about 18721.6665924805. Note that the first 3 decimals coincide. The cubic root of 350500800 is about 705.0658356103.

Adding to 350500800 its reverse (8005053), we get a palindrome (358505853).

The spelling of 350500800 in words is "three hundred fifty million, five hundred thousand, eight hundred".