350074800 has 180 divisors, whose sum is σ = 1241304480. Its totient is φ = 91322880.

The previous prime is 350074793. The next prime is 350074849. The reversal of 350074800 is 8470053.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 168166 + ... + 170234.

It is an arithmetic number, because the mean of its divisors is an integer number (6896136).

Almost surely, 2^350074800 is an apocalyptic number.

350074800 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 350074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620652240).

350074800 is an abundant number, since it is smaller than the sum of its proper divisors (891229680).

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

350074800 is a wasteful number, since it uses less digits than its factorization.

350074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

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

The square root of 350074800 is about 18710.2859411608. The cubic root of 350074800 is about 704.7800732443.

The spelling of 350074800 in words is "three hundred fifty million, seventy-four thousand, eight hundred".