349673600 has 96 divisors (see below), whose sum is σ = 901549440. Its totient is φ = 133760000.

The previous prime is 349673593. The next prime is 349673609. The reversal of 349673600 is 6376943.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (349673609) 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, 71225 + ... + 75975.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2^349673600 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 349673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450774720).

349673600 is an abundant number, since it is smaller than the sum of its proper divisors (551875840).

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

349673600 is a wasteful number, since it uses less digits than its factorization.

349673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 38.

The square root of 349673600 is about 18699.5614921848. The cubic root of 349673600 is about 704.5107347567.

The spelling of 349673600 in words is "three hundred forty-nine million, six hundred seventy-three thousand, six hundred".