349725573376 has 81 divisors (see below), whose sum is σ = 730210579231. Its totient is φ = 167155974656.

The previous prime is 349725573347. The next prime is 349725573377. The reversal of 349725573376 is 673375527943.

The square root of 349725573376 is 591376.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349725573377) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 217625565 + ... + 217627171.

Almost surely, 2^349725573376 is an apocalyptic number.

349725573376 is the 591376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349725573376

349725573376 is an abundant number, since it is smaller than the sum of its proper divisors (380485005855).

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

349725573376 is an frugal number, since it uses more digits than its factorization.

349725573376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 1632 counting only the distinct ones).

The product of its digits is 100018800, while the sum is 61.

The spelling of 349725573376 in words is "three hundred forty-nine billion, seven hundred twenty-five million, five hundred seventy-three thousand, three hundred seventy-six".