344132034120100 has 144 divisors (see below), whose sum is σ = 758075717427280. Its totient is φ = 135573676646400.

The previous prime is 344132034120029. The next prime is 344132034120151. The reversal of 344132034120100 is 1021430231443.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 106001520855616 + 238130513264484 = 10295704^2 + 15431478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17800230034 + ... + 17800249366.

Almost surely, 2^{344132034120100} 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 344132034120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379037858713640).

344132034120100 is an abundant number, since it is smaller than the sum of its proper divisors (413943683307180).

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

344132034120100 is a wasteful number, since it uses less digits than its factorization.

344132034120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22770 (or 22763 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 344132034120100 its reverse (1021430231443), we get a palindrome (345153464351543).

The spelling of 344132034120100 in words is "three hundred forty-four trillion, one hundred thirty-two billion, thirty-four million, one hundred twenty thousand, one hundred".