349899000 has 256 divisors, whose sum is σ = 1245404160. Its totient is φ = 80960000.

The previous prime is 349898993. The next prime is 349899013. The reversal of 349899000 is 998943.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 758770 + ... + 759230.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860).

Almost surely, 2^349899000 is an apocalyptic number.

349899000 is a gapful number since it is divisible by the number (30) 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 349899000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622702080).

349899000 is an abundant number, since it is smaller than the sum of its proper divisors (895505160).

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

349899000 is a wasteful number, since it uses less digits than its factorization.

349899000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 349899000 is about 18705.5874005603. The cubic root of 349899000 is about 704.6620783828.

The spelling of 349899000 in words is "three hundred forty-nine million, eight hundred ninety-nine thousand".