344431100 has 72 divisors (see below), whose sum is σ = 820260000. Its totient is φ = 124750080.

The previous prime is 344431051. The next prime is 344431133. The reversal of 344431100 is 1134443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66401 + ... + 71399.

It is an arithmetic number, because the mean of its divisors is an integer number (11392500).

Almost surely, 2^344431100 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 344431100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410130000).

344431100 is an abundant number, since it is smaller than the sum of its proper divisors (475828900).

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

344431100 is a wasteful number, since it uses less digits than its factorization.

344431100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5079 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 344431100 is about 18558.8550293384. The cubic root of 344431100 is about 700.9721865803.

Adding to 344431100 its reverse (1134443), we get a palindrome (345565543).

The spelling of 344431100 in words is "three hundred forty-four million, four hundred thirty-one thousand, one hundred".