349041600 has 126 divisors (see below), whose sum is σ = 1240627440. Its totient is φ = 93073920.

The previous prime is 349041577. The next prime is 349041601. The reversal of 349041600 is 6140943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349041601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2281 + ... + 26519.

Almost surely, 2^349041600 is an apocalyptic number.

349041600 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 349041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620313720).

349041600 is an abundant number, since it is smaller than the sum of its proper divisors (891585840).

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

349041600 is a wasteful number, since it uses less digits than its factorization.

349041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24267 (or 24249 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 349041600 is about 18682.6550575661. The cubic root of 349041600 is about 704.0860345956.

The spelling of 349041600 in words is "three hundred forty-nine million, forty-one thousand, six hundred".