343144413040100 has 324 divisors, whose sum is σ = 916180882920576. Its totient is φ = 111175705992960.

The previous prime is 343144413040021. The next prime is 343144413040103. The reversal of 343144413040100 is 1040314441343.

It is not an unprimeable number, because it can be changed into a prime (343144413040103) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 192796457 + ... + 194568143.

Almost surely, 2^{343144413040100} 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 343144413040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458090441460288).

343144413040100 is an abundant number, since it is smaller than the sum of its proper divisors (573036469880476).

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

343144413040100 is a wasteful number, since it uses less digits than its factorization.

343144413040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771820 (or 1771777 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 343144413040100 its reverse (1040314441343), we get a palindrome (344184727481443).

The spelling of 343144413040100 in words is "three hundred forty-three trillion, one hundred forty-four billion, four hundred thirteen million, forty thousand, one hundred".