344132125540100 has 36 divisors (see below), whose sum is σ = 746767566751668. Its totient is φ = 137652692736000.

The previous prime is 344132125540061. The next prime is 344132125540109. The reversal of 344132125540100 is 1045521231443.

It can be written as a sum of positive squares in 6 ways, for example, as 22767632143936 + 321364493396164 = 4771544^2 + 17926642^2 .

It is not an unprimeable number, because it can be changed into a prime (344132125540109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129682580 + ... + 132309620.

Almost surely, 2^{344132125540100} is an apocalyptic number.

It is an amenable number.

344132125540100 is an abundant number, since it is smaller than the sum of its proper divisors (402635441211568).

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

344132125540100 is a wasteful number, since it uses less digits than its factorization.

344132125540100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937016 (or 3937009 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 344132125540100 its reverse (1045521231443), we get a palindrome (345177646771543).

The spelling of 344132125540100 in words is "three hundred forty-four trillion, one hundred thirty-two billion, one hundred twenty-five million, five hundred forty thousand, one hundred".