349718400 has 144 divisors (see below), whose sum is σ = 1247978160. Its totient is φ = 93250560.

The previous prime is 349718387. The next prime is 349718419. The reversal of 349718400 is 4817943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 17 ways as a sum of consecutive naturals, for example, 22729 + ... + 34871.

It is an arithmetic number, because the mean of its divisors is an integer number (8666515).

Almost surely, 2^349718400 is an apocalyptic number.

349718400 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 349718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623989080).

349718400 is an abundant number, since it is smaller than the sum of its proper divisors (898259760).

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

349718400 is a wasteful number, since it uses less digits than its factorization.

349718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12173 (or 12153 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 349718400 is about 18700.7593428716. The cubic root of 349718400 is about 704.5408206550.

The spelling of 349718400 in words is "three hundred forty-nine million, seven hundred eighteen thousand, four hundred".