349441770496 has 495 divisors, whose sum is σ = 913903196271. Its totient is φ = 133473779712.

The previous prime is 349441770493. The next prime is 349441770499. The reversal of 349441770496 is 694077144943.

The square root of 349441770496 is 591136.

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

It is an interprime number because it is at equal distance from previous prime (349441770493) and next prime (349441770499).

It can be written as a sum of positive squares in 4 ways, for example, as 44808422400 + 304633348096 = 211680^2 + 551936^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 349441770496.

It is not an unprimeable number, because it can be changed into a prime (349441770493) 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 44 ways as a sum of consecutive naturals, for example, 12049716210 + ... + 12049716238.

Almost surely, 2^349441770496 is an apocalyptic number.

349441770496 is the 591136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349441770496

349441770496 is an abundant number, since it is smaller than the sum of its proper divisors (564461425775).

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

349441770496 is an frugal number, since it uses more digits than its factorization.

349441770496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 58.

The spelling of 349441770496 in words is "three hundred forty-nine billion, four hundred forty-one million, seven hundred seventy thousand, four hundred ninety-six".