349046800 has 60 divisors (see below), whose sum is σ = 845310976. Its totient is φ = 138499200.

The previous prime is 349046779. The next prime is 349046801. The reversal of 349046800 is 8640943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349046801) 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, 47365 + ... + 54235.

Almost surely, 2^349046800 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 349046800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422655488).

349046800 is an abundant number, since it is smaller than the sum of its proper divisors (496264176).

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

349046800 is a wasteful number, since it uses less digits than its factorization.

349046800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 7005 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 349046800 is about 18682.7942235630. The cubic root of 349046800 is about 704.0895310549.

The spelling of 349046800 in words is "three hundred forty-nine million, forty-six thousand, eight hundred".