349563600 has 150 divisors (see below), whose sum is σ = 1254671990. Its totient is φ = 93208320.

The previous prime is 349563587. The next prime is 349563607. The reversal of 349563600 is 6365943.

349563600 is a `hidden beast` number, since 3 + 49 + 5 + 6 + 3 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 17740944 + 331822656 = 4212^2 + 18216^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349563607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27006 + ... + 37794.

Almost surely, 2^349563600 is an apocalyptic number.

349563600 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 349563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627335995).

349563600 is an abundant number, since it is smaller than the sum of its proper divisors (905108390).

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

349563600 is a wasteful number, since it uses less digits than its factorization.

349563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10819 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 349563600 is about 18696.6200153932. The cubic root of 349563600 is about 704.4368522289.

The spelling of 349563600 in words is "three hundred forty-nine million, five hundred sixty-three thousand, six hundred".