349203968 has 40 divisors (see below), whose sum is σ = 707359488. Its totient is φ = 172191744.

The previous prime is 349203947. The next prime is 349203997. The reversal of 349203968 is 869302943.

It is a Cunningham number, because it is equal to 18687²-1.

It is a super-2 number, since 2×349203968² = 243886822533890048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32705 + ... + 42047.

Almost surely, 2^349203968 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 349203968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353679744).

349203968 is an abundant number, since it is smaller than the sum of its proper divisors (358155520).

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

349203968 is an frugal number, since it uses more digits than its factorization.

349203968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9418 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 44.

The square root of 349203968 is about 18686.9999732434. Note that the first 4 decimals coincide. The cubic root of 349203968 is about 704.1951938087.

The spelling of 349203968 in words is "three hundred forty-nine million, two hundred three thousand, nine hundred sixty-eight".