349153280 has 96 divisors (see below), whose sum is σ = 957640320. Its totient is φ = 119685120.

The previous prime is 349153267. The next prime is 349153289. The reversal of 349153280 is 82351943.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 349153280.

It is not an unprimeable number, because it can be changed into a prime (349153289) 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 7 ways as a sum of consecutive naturals, for example, 69245 + ... + 74115.

It is an arithmetic number, because the mean of its divisors is an integer number (9975420).

Almost surely, 2^349153280 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 349153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478820160).

349153280 is an abundant number, since it is smaller than the sum of its proper divisors (608487040).

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

349153280 is an equidigital number, since it uses as much as digits as its factorization.

349153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4905 (or 4885 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 349153280 is about 18685.6436870663. The cubic root of 349153280 is about 704.1611201474.

The spelling of 349153280 in words is "three hundred forty-nine million, one hundred fifty-three thousand, two hundred eighty".