343622813553920 has 288 divisors, whose sum is σ = 889930394196480. Its totient is φ = 126725964963840.

The previous prime is 343622813553919. The next prime is 343622813553923. The reversal of 343622813553920 is 29355318226343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343622813553923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133973135 + ... + 136513905.

It is an arithmetic number, because the mean of its divisors is an integer number (3090036090960).

Almost surely, 2^{343622813553920} 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 343622813553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444965197098240).

343622813553920 is an abundant number, since it is smaller than the sum of its proper divisors (546307580642560).

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

343622813553920 is a wasteful number, since it uses less digits than its factorization.

343622813553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2540961 (or 2540947 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 56.

The spelling of 343622813553920 in words is "three hundred forty-three trillion, six hundred twenty-two billion, eight hundred thirteen million, five hundred fifty-three thousand, nine hundred twenty".