349559200 has 72 divisors (see below), whose sum is σ = 864319680. Its totient is φ = 138028800.

The previous prime is 349559183. The next prime is 349559209. The reversal of 349559200 is 2955943.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 349559200.

It is not an unprimeable number, because it can be changed into a prime (349559209) 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, 60435 + ... + 65965.

It is an arithmetic number, because the mean of its divisors is an integer number (12004440).

Almost surely, 2^349559200 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 349559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432159840).

349559200 is an abundant number, since it is smaller than the sum of its proper divisors (514760480).

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

349559200 is a wasteful number, since it uses less digits than its factorization.

349559200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 349559200 is about 18696.5023466958. The cubic root of 349559200 is about 704.4338966054.

The spelling of 349559200 in words is "three hundred forty-nine million, five hundred fifty-nine thousand, two hundred".