343242001033140 has 576 divisors, whose sum is σ = 1090308406118400. Its totient is φ = 80586193628160.

The previous prime is 343242001033117. The next prime is 343242001033177. The reversal of 343242001033140 is 41330100242343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 343242001033098 and 343242001033107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12763233534 + ... + 12763260426.

It is an arithmetic number, because the mean of its divisors is an integer number (1892896538400).

Almost surely, 2^{343242001033140} is an apocalyptic number.

343242001033140 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 343242001033140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545154203059200).

343242001033140 is an abundant number, since it is smaller than the sum of its proper divisors (747066405085260).

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

343242001033140 is a wasteful number, since it uses less digits than its factorization.

343242001033140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27428 (or 27415 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 343242001033140 its reverse (41330100242343), we get a palindrome (384572101275483).

The spelling of 343242001033140 in words is "three hundred forty-three trillion, two hundred forty-two billion, one million, thirty-three thousand, one hundred forty".