343343212253440 has 1152 divisors, whose sum is σ = 1077940069032960. Its totient is φ = 101929740926976.

The previous prime is 343343212253429. The next prime is 343343212253441. The reversal of 343343212253440 is 44352212343343.

It is a super-2 number, since 2×343343212253440² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (343343212253441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61785711142 + ... + 61785716698.

It is an arithmetic number, because the mean of its divisors is an integer number (935711865480).

Almost surely, 2^{343343212253440} 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 343343212253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538970034516480).

343343212253440 is an abundant number, since it is smaller than the sum of its proper divisors (734596856779520).

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

343343212253440 is a wasteful number, since it uses less digits than its factorization.

343343212253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 43.

Adding to 343343212253440 its reverse (44352212343343), we get a palindrome (387695424596783).

The spelling of 343343212253440 in words is "three hundred forty-three trillion, three hundred forty-three billion, two hundred twelve million, two hundred fifty-three thousand, four hundred forty".