350638848 has 144 divisors (see below), whose sum is σ = 1185192960. Its totient is φ = 100168704.

The previous prime is 350638843. The next prime is 350638859. The reversal of 350638848 is 848836053.

350638848 is a `hidden beast` number, since 3 + 5 + 0 + 638 + 8 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (350638843) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44761 + ... + 52007.

Almost surely, 2^350638848 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 350638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592596480).

350638848 is an abundant number, since it is smaller than the sum of its proper divisors (834554112).

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

350638848 is an equidigital number, since it uses as much as digits as its factorization.

350638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279 (or 7259 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 350638848 is about 18725.3530807833. The cubic root of 350638848 is about 705.1583890393.

The spelling of 350638848 in words is "three hundred fifty million, six hundred thirty-eight thousand, eight hundred forty-eight".