349382400 has 216 divisors, whose sum is σ = 1192257024. Its totient is φ = 90009600.

The previous prime is 349382377. The next prime is 349382447. The reversal of 349382400 is 4283943.

349382400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×349382400² = 244136122859520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594907 + ... + 595493.

Almost surely, 2^349382400 is an apocalyptic number.

349382400 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 349382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596128512).

349382400 is an abundant number, since it is smaller than the sum of its proper divisors (842874624).

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

349382400 is a wasteful number, since it uses less digits than its factorization.

349382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 349382400 is about 18691.7735916098. The cubic root of 349382400 is about 704.3151137535.

The spelling of 349382400 in words is "three hundred forty-nine million, three hundred eighty-two thousand, four hundred".