3342206306880 has 336 divisors, whose sum is σ = 13140776563200. Its totient is φ = 763774562304.

The previous prime is 3342206306869. The next prime is 3342206306897. The reversal of 3342206306880 is 886036022433.

3342206306880 is a `hidden beast` number, since 3 + 3 + 4 + 2 + 2 + 0 + 630 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3342206306880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117054846 + ... + 117083394.

Almost surely, 2^{3342206306880} is an apocalyptic number.

3342206306880 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 3342206306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6570388281600).

3342206306880 is an abundant number, since it is smaller than the sum of its proper divisors (9798570256320).

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

3342206306880 is a wasteful number, since it uses less digits than its factorization.

3342206306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34386 (or 34373 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3342206306880 in words is "three trillion, three hundred forty-two billion, two hundred six million, three hundred six thousand, eight hundred eighty".