349342433280 has 512 divisors, whose sum is σ = 1252483948800. Its totient is φ = 92380594176.

The previous prime is 349342433203. The next prime is 349342433329. The reversal of 349342433280 is 82334243943.

349342433280 is a `hidden beast` number, since 3 + 493 + 42 + 43 + 3 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694517509 + ... + 694518011.

Almost surely, 2^349342433280 is an apocalyptic number.

349342433280 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 349342433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626241974400).

349342433280 is an abundant number, since it is smaller than the sum of its proper divisors (903141515520).

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

349342433280 is an equidigital number, since it uses as much as digits as its factorization.

349342433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 349342433280 in words is "three hundred forty-nine billion, three hundred forty-two million, four hundred thirty-three thousand, two hundred eighty".