349914839296 has 81 divisors (see below), whose sum is σ = 767960355729. Its totient is φ = 159004876800.

The previous prime is 349914839257. The next prime is 349914839311. The reversal of 349914839296 is 692938419943.

The square root of 349914839296 is 591536.

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

It can be written as a sum of positive squares in only one way, i.e., 262488176896 + 87426662400 = 512336^2 + 295680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 104108656 + ... + 104112016.

Almost surely, 2^349914839296 is an apocalyptic number.

349914839296 is the 591536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349914839296

349914839296 is an abundant number, since it is smaller than the sum of its proper divisors (418045516433).

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

349914839296 is an frugal number, since it uses more digits than its factorization.

349914839296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6760 (or 3374 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 67.

The spelling of 349914839296 in words is "three hundred forty-nine billion, nine hundred fourteen million, eight hundred thirty-nine thousand, two hundred ninety-six".