343410100012320 has 384 divisors, whose sum is σ = 1189074834662400. Its totient is φ = 82618278113280.

The previous prime is 343410100012267. The next prime is 343410100012349. The reversal of 343410100012320 is 23210001014343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499308031 + ... + 499995329.

It is an arithmetic number, because the mean of its divisors is an integer number (3096549048600).

Almost surely, 2^{343410100012320} is an apocalyptic number.

343410100012320 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 343410100012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594537417331200).

343410100012320 is an abundant number, since it is smaller than the sum of its proper divisors (845664734650080).

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

343410100012320 is a wasteful number, since it uses less digits than its factorization.

343410100012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688048 (or 688040 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 343410100012320 its reverse (23210001014343), we get a palindrome (366620101026663).

The spelling of 343410100012320 in words is "three hundred forty-three trillion, four hundred ten billion, one hundred million, twelve thousand, three hundred twenty".