349798400 has 192 divisors, whose sum is σ = 1007666160. Its totient is φ = 117964800.

The previous prime is 349798381. The next prime is 349798439. The reversal of 349798400 is 4897943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5734370 + ... + 5734430.

Almost surely, 2^349798400 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 349798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503833080).

349798400 is an abundant number, since it is smaller than the sum of its proper divisors (657867760).

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

349798400 is an frugal number, since it uses more digits than its factorization.

349798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 349798400 is about 18702.8981711391. The cubic root of 349798400 is about 704.5945390834.

The spelling of 349798400 in words is "three hundred forty-nine million, seven hundred ninety-eight thousand, four hundred".