3346680800 has 36 divisors (see below), whose sum is σ = 8170086456. Its totient is φ = 1338672000.

The previous prime is 3346680797. The next prime is 3346680811. The reversal of 3346680800 is 80866433.

It is a super-2 number, since 2×3346680800² = 22400544754177280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2090876 + ... + 2092475.

It is an arithmetic number, because the mean of its divisors is an integer number (226946846).

Almost surely, 2^3346680800 is an apocalyptic number.

It is an amenable number.

3346680800 is an abundant number, since it is smaller than the sum of its proper divisors (4823405656).

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

3346680800 is a wasteful number, since it uses less digits than its factorization.

3346680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183371 (or 4183358 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 3346680800 is about 57850.5038871746. The cubic root of 3346680800 is about 1495.7927734925.

The spelling of 3346680800 in words is "three billion, three hundred forty-six million, six hundred eighty thousand, eight hundred".