349218656320 has 224 divisors, whose sum is σ = 921978547200. Its totient is φ = 125393393664.

The previous prime is 349218656309. The next prime is 349218656321. The reversal of 349218656320 is 23656812943.

It is not an unprimeable number, because it can be changed into a prime (349218656321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14951211 + ... + 14974549.

Almost surely, 2^349218656320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349218656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460989273600).

349218656320 is an abundant number, since it is smaller than the sum of its proper divisors (572759890880).

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

349218656320 is a wasteful number, since it uses less digits than its factorization.

349218656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23505 (or 23495 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 349218656320 in words is "three hundred forty-nine billion, two hundred eighteen million, six hundred fifty-six thousand, three hundred twenty".