344404100 has 72 divisors (see below), whose sum is σ = 771700608. Its totient is φ = 133331200.

The previous prime is 344404091. The next prime is 344404111. The reversal of 344404100 is 1404443.

It is a super-2 number, since 2×344404100² = 237228368193620000, which contains 22 as substring.

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

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, 684449 + ... + 684951.

It is an arithmetic number, because the mean of its divisors is an integer number (10718064).

Almost surely, 2^344404100 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 344404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385850304).

344404100 is an abundant number, since it is smaller than the sum of its proper divisors (427296508).

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

344404100 is a wasteful number, since it uses less digits than its factorization.

344404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 344404100 is about 18558.1275995182. The cubic root of 344404100 is about 700.9538696671.

Adding to 344404100 its reverse (1404443), we get a palindrome (345808543).

The spelling of 344404100 in words is "three hundred forty-four million, four hundred four thousand, one hundred".