3343504000 has 128 divisors (see below), whose sum is σ = 8399149200. Its totient is φ = 1323520000.

The previous prime is 3343503991. The next prime is 3343504037. The reversal of 3343504000 is 4053433.

It can be written as a sum of positive squares in 8 ways, for example, as 261921856 + 3081582144 = 16184^2 + 55512^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3343504000² = 22358037996032000000, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1614966 + ... + 1617034.

Almost surely, 2^3343504000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3343504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199574600).

3343504000 is an abundant number, since it is smaller than the sum of its proper divisors (5055645200).

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

3343504000 is a wasteful number, since it uses less digits than its factorization.

3343504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3343504000 is about 57823.0403904879. The cubic root of 3343504000 is about 1495.3193353705.

Adding to 3343504000 its reverse (4053433), we get a palindrome (3347557433).

The spelling of 3343504000 in words is "three billion, three hundred forty-three million, five hundred four thousand".