349173670240 has 96 divisors (see below), whose sum is σ = 834435211680. Its totient is φ = 138065485824.

The previous prime is 349173670213. The next prime is 349173670249. The reversal of 349173670240 is 42076371943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349173670249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6826842 + ... + 6877798.

It is an arithmetic number, because the mean of its divisors is an integer number (8692033455).

Almost surely, 2^349173670240 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 349173670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417217605840).

349173670240 is an abundant number, since it is smaller than the sum of its proper divisors (485261541440).

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

349173670240 is a wasteful number, since it uses less digits than its factorization.

349173670240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51464 (or 51456 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 46.

The spelling of 349173670240 in words is "three hundred forty-nine billion, one hundred seventy-three million, six hundred seventy thousand, two hundred forty".