349573422400 has 42 divisors (see below), whose sum is σ = 860169106430. Its totient is φ = 139829368320.

The previous prime is 349573422383. The next prime is 349573422409. The reversal of 349573422400 is 4224375943.

It can be written as a sum of positive squares in 3 ways, for example, as 37063744 + 349536358656 = 6088^2 + 591216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349573422409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109240095 + ... + 109243294.

Almost surely, 2^349573422400 is an apocalyptic number.

It is an amenable number.

349573422400 is an abundant number, since it is smaller than the sum of its proper divisors (510595684030).

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

349573422400 is a wasteful number, since it uses less digits than its factorization.

349573422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218483411 (or 218483396 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 349573422400 in words is "three hundred forty-nine billion, five hundred seventy-three million, four hundred twenty-two thousand, four hundred".