349895700 has 648 divisors, whose sum is σ = 1512778176. Its totient is φ = 68428800.

The previous prime is 349895699. The next prime is 349895719. The reversal of 349895700 is 7598943.

349895700 is a `hidden beast` number, since 3 + 498 + 95 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20582092 + ... + 20582108.

Almost surely, 2^349895700 is an apocalyptic number.

349895700 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 349895700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756389088).

349895700 is an abundant number, since it is smaller than the sum of its proper divisors (1162882476).

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

349895700 is a wasteful number, since it uses less digits than its factorization.

349895700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 349895700 is about 18705.4991914143. The cubic root of 349895700 is about 704.6598630843.

The spelling of 349895700 in words is "three hundred forty-nine million, eight hundred ninety-five thousand, seven hundred".