3342843678720 has 1664 divisors, whose sum is σ = 13910598374400. Its totient is φ = 666416185344.

The previous prime is 3342843678709. The next prime is 3342843678721. The reversal of 3342843678720 is 278763482433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×3342843678720² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342843678721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8593428286 + ... + 8593428674.

It is an arithmetic number, because the mean of its divisors is an integer number (8359734600).

Almost surely, 2^{3342843678720} is an apocalyptic number.

3342843678720 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 3342843678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955299187200).

3342843678720 is an abundant number, since it is smaller than the sum of its proper divisors (10567754695680).

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

3342843678720 is a wasteful number, since it uses less digits than its factorization.

3342843678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 3342843678720 in words is "three trillion, three hundred forty-two billion, eight hundred forty-three million, six hundred seventy-eight thousand, seven hundred twenty".