353080000 has 280 divisors, whose sum is σ = 1088676512. Its totient is φ = 110592000.

The previous prime is 353079997. The next prime is 353080003. The reversal of 353080000 is 80353.

353080000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (353079997) and next prime (353080003).

It is a tau number, because it is divible by the number of its divisors (280).

It is a self number, because there is not a number n which added to its sum of digits gives 353080000.

It is not an unprimeable number, because it can be changed into a prime (353080003) 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 39 ways as a sum of consecutive naturals, for example, 3639952 + ... + 3640048.

Almost surely, 2^353080000 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 353080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544338256).

353080000 is an abundant number, since it is smaller than the sum of its proper divisors (735596512).

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

353080000 is an equidigital number, since it uses as much as digits as its factorization.

353080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 353080000 is about 18790.4230926289. The cubic root of 353080000 is about 706.7910464980.

The spelling of 353080000 in words is "three hundred fifty-three million, eighty thousand".