3394943707680 has 2304 divisors, whose sum is σ = 15448627224576. Its totient is φ = 685820805120.

The previous prime is 3394943707667. The next prime is 3394943707723. The reversal of 3394943707680 is 867073494933.

3394943707680 is a `hidden beast` number, since 3 + 3 + 9 + 494 + 3 + 70 + 76 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6491287899 + ... + 6491288421.

It is an arithmetic number, because the mean of its divisors is an integer number (6705133344).

Almost surely, 2^{3394943707680} is an apocalyptic number.

3394943707680 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 3394943707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724313612288).

3394943707680 is an abundant number, since it is smaller than the sum of its proper divisors (12053683516896).

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

3394943707680 is a wasteful number, since it uses less digits than its factorization.

3394943707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 3394943707680 in words is "three trillion, three hundred ninety-four billion, nine hundred forty-three million, seven hundred seven thousand, six hundred eighty".