344004100 has 72 divisors (see below), whose sum is σ = 849820608. Its totient is φ = 119644800.

The previous prime is 344004097. The next prime is 344004103. The reversal of 344004100 is 1400443.

It is an interprime number because it is at equal distance from previous prime (344004097) and next prime (344004103).

It is not an unprimeable number, because it can be changed into a prime (344004103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18502 + ... + 32098.

It is an arithmetic number, because the mean of its divisors is an integer number (11803064).

Almost surely, 2^344004100 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 344004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424910304).

344004100 is an abundant number, since it is smaller than the sum of its proper divisors (505816508).

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

344004100 is a wasteful number, since it uses less digits than its factorization.

344004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13645 (or 13638 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 344004100 is about 18547.3475192546. The cubic root of 344004100 is about 700.6823957740.

Adding to 344004100 its reverse (1400443), we get a palindrome (345404543).

The spelling of 344004100 in words is "three hundred forty-four million, four thousand, one hundred".