344198144 has 44 divisors (see below), whose sum is σ = 704151624. Its totient is φ = 168075264.

The previous prime is 344198123. The next prime is 344198207. The reversal of 344198144 is 441891443.

It is a super-3 number, since 3×344198144³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344198098 and 344198107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40124 + ... + 47940.

It is an arithmetic number, because the mean of its divisors is an integer number (16003446).

Almost surely, 2^344198144 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 344198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352075812).

344198144 is an abundant number, since it is smaller than the sum of its proper divisors (359953480).

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

344198144 is an equidigital number, since it uses as much as digits as its factorization.

344198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7880 (or 7862 counting only the distinct ones).

The product of its digits is 55296, while the sum is 38.

The square root of 344198144 is about 18552.5778262752. The cubic root of 344198144 is about 700.8141167413.

It can be divided in two parts, 344 and 198144, that multiplied together give a square (68161536 = 8256²).

The spelling of 344198144 in words is "three hundred forty-four million, one hundred ninety-eight thousand, one hundred forty-four".