349612800 has 216 divisors, whose sum is σ = 1170966720. Its totient is φ = 91852800.

The previous prime is 349612799. The next prime is 349612807. The reversal of 349612800 is 8216943.

349612800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (349612807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2515131 + ... + 2515269.

Almost surely, 2^349612800 is an apocalyptic number.

349612800 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 349612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585483360).

349612800 is an abundant number, since it is smaller than the sum of its proper divisors (821353920).

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

349612800 is a wasteful number, since it uses less digits than its factorization.

349612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 349612800 is about 18697.9357149392. The cubic root of 349612800 is about 704.4698997842.

The spelling of 349612800 in words is "three hundred forty-nine million, six hundred twelve thousand, eight hundred".