343234003420440 has 768 divisors, whose sum is σ = 1334090239372800. Its totient is φ = 75547654963200.

The previous prime is 343234003420421. The next prime is 343234003420447. The reversal of 343234003420440 is 44024300432343.

343234003420440 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 3 + 400 + 3 + 4 + 204 + 40 = 666.

It is a super-2 number, since 2×343234003420440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 343234003420395 and 343234003420404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343234003420447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2270426055 + ... + 2270577225.

It is an arithmetic number, because the mean of its divisors is an integer number (1737096665850).

Almost surely, 2^{343234003420440} is an apocalyptic number.

343234003420440 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 343234003420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667045119686400).

343234003420440 is an abundant number, since it is smaller than the sum of its proper divisors (990856235952360).

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

343234003420440 is a wasteful number, since it uses less digits than its factorization.

343234003420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152408 (or 152401 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 343234003420440 its reverse (44024300432343), we get a palindrome (387258303852783).

The spelling of 343234003420440 in words is "three hundred forty-three trillion, two hundred thirty-four billion, three million, four hundred twenty thousand, four hundred forty".