343213221233340 has 288 divisors, whose sum is σ = 1106943155974656. Its totient is φ = 89217320451840.

The previous prime is 343213221233321. The next prime is 343213221233353. The reversal of 343213221233340 is 43332122312343.

343213221233340 is a `hidden beast` number, since 3 + 4 + 32 + 1 + 32 + 21 + 233 + 340 = 666.

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 = 343213221233295 and 343213221233304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103484410 + ... + 106749470.

It is an arithmetic number, because the mean of its divisors is an integer number (3843552624912).

Almost surely, 2^{343213221233340} is an apocalyptic number.

343213221233340 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 343213221233340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553471577987328).

343213221233340 is an abundant number, since it is smaller than the sum of its proper divisors (763729934741316).

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

343213221233340 is a wasteful number, since it uses less digits than its factorization.

343213221233340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3265631 (or 3265617 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 343213221233340 its reverse (43332122312343), we get a palindrome (386545343545683).

The spelling of 343213221233340 in words is "three hundred forty-three trillion, two hundred thirteen billion, two hundred twenty-one million, two hundred thirty-three thousand, three hundred forty".