344400126 has 64 divisors (see below), whose sum is σ = 814924800. Its totient is φ = 96972960.

The previous prime is 344400113. The next prime is 344400131. The reversal of 344400126 is 621004443.

It is a super-2 number, since 2×344400126² = 237222893577631752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344400096 and 344400105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144940 + ... + 147296.

It is an arithmetic number, because the mean of its divisors is an integer number (12733200).

Almost surely, 2^344400126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344400126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407462400).

344400126 is an abundant number, since it is smaller than the sum of its proper divisors (470524674).

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

344400126 is a wasteful number, since it uses less digits than its factorization.

344400126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2454 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 344400126 is about 18558.0205302182. The cubic root of 344400126 is about 700.9511736081.

Adding to 344400126 its reverse (621004443), we get a palindrome (965404569).

The spelling of 344400126 in words is "three hundred forty-four million, four hundred thousand, one hundred twenty-six".