343362496643712 has 2304 divisors, whose sum is σ = 1297695099617280. Its totient is φ = 86277977210880.

The previous prime is 343362496643701. The next prime is 343362496643717. The reversal of 343362496643712 is 217346694263343.

It is a happy number.

343362496643712 is a `hidden beast` number, since 3 + 4 + 3 + 36 + 2 + 496 + 6 + 43 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a self number, because there is not a number n which added to its sum of digits gives 343362496643712.

It is not an unprimeable number, because it can be changed into a prime (343362496643717) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 453583218438 + ... + 453583219194.

It is an arithmetic number, because the mean of its divisors is an integer number (563235720320).

Almost surely, 2^{343362496643712} is an apocalyptic number.

343362496643712 is a gapful number since it is divisible by the number (32) 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 343362496643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648847549808640).

343362496643712 is an abundant number, since it is smaller than the sum of its proper divisors (954332602973568).

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

343362496643712 is a wasteful number, since it uses less digits than its factorization.

343362496643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1097 counting only the distinct ones).

The product of its digits is 282175488, while the sum is 63.

The spelling of 343362496643712 in words is "three hundred forty-three trillion, three hundred sixty-two billion, four hundred ninety-six million, six hundred forty-three thousand, seven hundred twelve".