350704800 has 216 divisors, whose sum is σ = 1256857056. Its totient is φ = 91998720.

The previous prime is 350704729. The next prime is 350704811. The reversal of 350704800 is 8407053.

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 35 ways as a sum of consecutive naturals, for example, 482037 + ... + 482763.

Almost surely, 2^350704800 is an apocalyptic number.

350704800 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 350704800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628428528).

350704800 is an abundant number, since it is smaller than the sum of its proper divisors (906152256).

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

350704800 is a wasteful number, since it uses less digits than its factorization.

350704800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 350704800 is about 18727.1140328669. The cubic root of 350704800 is about 705.2025975755.

The spelling of 350704800 in words is "three hundred fifty million, seven hundred four thousand, eight hundred".