349271800 has 96 divisors (see below), whose sum is σ = 880189200. Its totient is φ = 128378880.

The previous prime is 349271789. The next prime is 349271801. The reversal of 349271800 is 8172943.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349271801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145006 + ... + 147394.

Almost surely, 2^349271800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349271800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440094600).

349271800 is an abundant number, since it is smaller than the sum of its proper divisors (530917400).

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

349271800 is a wasteful number, since it uses less digits than its factorization.

349271800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 349271800 is about 18688.8148366877. The cubic root of 349271800 is about 704.2407869102.

The spelling of 349271800 in words is "three hundred forty-nine million, two hundred seventy-one thousand, eight hundred".