350796800 has 132 divisors (see below), whose sum is σ = 886367376. Its totient is φ = 137625600.

The previous prime is 350796799. The next prime is 350796811. The reversal of 350796800 is 8697053.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1817504 + ... + 1817696.

Almost surely, 2^350796800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443183688).

350796800 is an abundant number, since it is smaller than the sum of its proper divisors (535570576).

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

350796800 is a wasteful number, since it uses less digits than its factorization.

350796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 350796800 is about 18729.5702032908. The cubic root of 350796800 is about 705.2642571884.

The spelling of 350796800 in words is "three hundred fifty million, seven hundred ninety-six thousand, eight hundred".