343144334412 has 288 divisors, whose sum is σ = 986501617920. Its totient is φ = 99672768000.

The previous prime is 343144334383. The next prime is 343144334441. The reversal of 343144334412 is 214433441343.

343144334412 is a `hidden beast` number, since 3 + 4 + 314 + 4 + 334 + 4 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (343144334383) and next prime (343144334441).

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

It is a nude number because it is divisible by every one of its digits.

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, 224130087 + ... + 224131617.

It is an arithmetic number, because the mean of its divisors is an integer number (3425352840).

Almost surely, 2^343144334412 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 343144334412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493250808960).

343144334412 is an abundant number, since it is smaller than the sum of its proper divisors (643357283508).

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

343144334412 is a wasteful number, since it uses less digits than its factorization.

343144334412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1840 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 343144334412 its reverse (214433441343), we get a palindrome (557577775755).

The spelling of 343144334412 in words is "three hundred forty-three billion, one hundred forty-four million, three hundred thirty-four thousand, four hundred twelve".