349797312 has 224 divisors, whose sum is σ = 1082649600. Its totient is φ = 110647296.

The previous prime is 349797311. The next prime is 349797313. The reversal of 349797312 is 213797943.

It is an interprime number because it is at equal distance from previous prime (349797311) and next prime (349797313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349797311) 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, 4791708 + ... + 4791780.

Almost surely, 2^349797312 is an apocalyptic number.

349797312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349797312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541324800).

349797312 is an abundant number, since it is smaller than the sum of its proper divisors (732852288).

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

349797312 is a wasteful number, since it uses less digits than its factorization.

349797312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 349797312 is about 18702.8690847153. The cubic root of 349797312 is about 704.5938085677.

The spelling of 349797312 in words is "three hundred forty-nine million, seven hundred ninety-seven thousand, three hundred twelve".