349727400 has 288 divisors, whose sum is σ = 1357948800. Its totient is φ = 79718400.

The previous prime is 349727381. The next prime is 349727431. The reversal of 349727400 is 4727943.

It is a Cunningham number, because it is equal to 18701²-1.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 336081 + ... + 337119.

It is an arithmetic number, because the mean of its divisors is an integer number (4715100).

Almost surely, 2^349727400 is an apocalyptic number.

349727400 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 349727400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678974400).

349727400 is an abundant number, since it is smaller than the sum of its proper divisors (1008221400).

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

349727400 is a wasteful number, since it uses less digits than its factorization.

349727400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 349727400 is about 18700.9999732635. Note that the first 4 decimals coincide. The cubic root of 349727400 is about 704.5468643872.

The spelling of 349727400 in words is "three hundred forty-nine million, seven hundred twenty-seven thousand, four hundred".