349161800 has 48 divisors (see below), whose sum is σ = 874253940. Its totient is φ = 128920320.

The previous prime is 349161739. The next prime is 349161809. The reversal of 349161800 is 8161943.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 139665124 + 209496676 = 11818^2 + 14474^2 .

It is not an unprimeable number, because it can be changed into a prime (349161809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64547 + ... + 69746.

Almost surely, 2^349161800 is an apocalyptic number.

It is an amenable number.

349161800 is an abundant number, since it is smaller than the sum of its proper divisors (525092140).

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

349161800 is a wasteful number, since it uses less digits than its factorization.

349161800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134322 (or 134313 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 349161800 is about 18685.8716681882. The cubic root of 349161800 is about 704.1668477216.

The spelling of 349161800 in words is "three hundred forty-nine million, one hundred sixty-one thousand, eight hundred".