350506800 has 270 divisors, whose sum is σ = 1415656788. Its totient is φ = 80075520.

The previous prime is 350506771. The next prime is 350506811. The reversal of 350506800 is 8605053.

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 53 ways as a sum of consecutive naturals, for example, 175407 + ... + 177393.

Almost surely, 2^350506800 is an apocalyptic number.

350506800 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 350506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707828394).

350506800 is an abundant number, since it is smaller than the sum of its proper divisors (1065149988).

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

350506800 is a wasteful number, since it uses less digits than its factorization.

350506800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 350506800 is about 18721.8268339390. The cubic root of 350506800 is about 705.0698587784.

The spelling of 350506800 in words is "three hundred fifty million, five hundred six thousand, eight hundred".