344332100340 has 144 divisors (see below), whose sum is σ = 1052309316240. Its totient is φ = 91135672320.

The previous prime is 344332100323. The next prime is 344332100353. The reversal of 344332100340 is 43001233443.

344332100340 is a `hidden beast` number, since 3 + 443 + 3 + 210 + 0 + 3 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14502421476 + 329829678864 = 120426^2 + 574308^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12985816 + ... + 13012304.

It is an arithmetic number, because the mean of its divisors is an integer number (7307703585).

Almost surely, 2^344332100340 is an apocalyptic number.

344332100340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344332100340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526154658120).

344332100340 is an abundant number, since it is smaller than the sum of its proper divisors (707977215900).

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

344332100340 is a wasteful number, since it uses less digits than its factorization.

344332100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27042 (or 27037 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 344332100340 its reverse (43001233443), we get a palindrome (387333333783).

The spelling of 344332100340 in words is "three hundred forty-four billion, three hundred thirty-two million, one hundred thousand, three hundred forty".