349668300 has 72 divisors (see below), whose sum is σ = 1013591376. Its totient is φ = 93071360.

The previous prime is 349668281. The next prime is 349668301. The reversal of 349668300 is 3866943.

It is not an unprimeable number, because it can be changed into a prime (349668301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292504 + ... + 293696.

It is an arithmetic number, because the mean of its divisors is an integer number (14077658).

Almost surely, 2^349668300 is an apocalyptic number.

349668300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349668300 is an abundant number, since it is smaller than the sum of its proper divisors (663923076).

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

349668300 is a wasteful number, since it uses less digits than its factorization.

349668300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 349668300 is about 18699.4197770947. The cubic root of 349668300 is about 704.5071753175.

The spelling of 349668300 in words is "three hundred forty-nine million, six hundred sixty-eight thousand, three hundred".