350848000 has 88 divisors (see below), whose sum is σ = 875608344. Its totient is φ = 140288000.

The previous prime is 350847983. The next prime is 350848007. The reversal of 350848000 is 848053.

It can be written as a sum of positive squares in 4 ways, for example, as 34292736 + 316555264 = 5856^2 + 17792^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 350848000.

It is not an unprimeable number, because it can be changed into a prime (350848007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126630 + ... + 129370.

Almost surely, 2^350848000 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 350848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437804172).

350848000 is an abundant number, since it is smaller than the sum of its proper divisors (524760344).

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

350848000 is an equidigital number, since it uses as much as digits as its factorization.

350848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 350848000 is about 18730.9369760298. The cubic root of 350848000 is about 705.2985674342.

The spelling of 350848000 in words is "three hundred fifty million, eight hundred forty-eight thousand".