349000512 has 224 divisors, whose sum is σ = 1131417600. Its totient is φ = 92731392.

The previous prime is 349000507. The next prime is 349000523. The reversal of 349000512 is 215000943.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2017258 + ... + 2017430.

Almost surely, 2^349000512 is an apocalyptic number.

349000512 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 349000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565708800).

349000512 is an abundant number, since it is smaller than the sum of its proper divisors (782417088).

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

349000512 is a wasteful number, since it uses less digits than its factorization.

349000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 349000512 is about 18681.5553956302. Note that the first 3 decimals coincide. The cubic root of 349000512 is about 704.0584059670.

The spelling of 349000512 in words is "three hundred forty-nine million, five hundred twelve", and thus it is an aban number.