349297200 has 360 divisors, whose sum is σ = 1410409728. Its totient is φ = 78405120.

The previous prime is 349297183. The next prime is 349297217. The reversal of 349297200 is 2792943.

349297200 = T₁₁₁ + T₁₁₂ + ... + T₁₂₇₉.

349297200 is a `hidden beast` number, since 349 + 297 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (349297183) and next prime (349297217).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2091517 + ... + 2091683.

Almost surely, 2^349297200 is an apocalyptic number.

349297200 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 349297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705204864).

349297200 is an abundant number, since it is smaller than the sum of its proper divisors (1061112528).

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

349297200 is a wasteful number, since it uses less digits than its factorization.

349297200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 349297200 is about 18689.4943751831. The cubic root of 349297200 is about 704.2578579347.

The spelling of 349297200 in words is "three hundred forty-nine million, two hundred ninety-seven thousand, two hundred".