349820199936 has 297 divisors, whose sum is σ = 1037196962139. Its totient is φ = 113559552000.

The previous prime is 349820199917. The next prime is 349820199961. The reversal of 349820199936 is 639991028943.

The square root of 349820199936 is 591456.

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

349820199936 is a `hidden beast` number, since 3 + 498 + 20 + 1 + 9 + 99 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 113550336 + 349706649600 = 10656^2 + 591360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3463566286 + ... + 3463566386.

Almost surely, 2^349820199936 is an apocalyptic number.

349820199936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349820199936 is the 591456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349820199936

349820199936 is an abundant number, since it is smaller than the sum of its proper divisors (687376762203).

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

349820199936 is an equidigital number, since it uses as much as digits as its factorization.

349820199936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

The spelling of 349820199936 in words is "three hundred forty-nine billion, eight hundred twenty million, one hundred ninety-nine thousand, nine hundred thirty-six".