3374336000 has 288 divisors, whose sum is σ = 9831439800. Its totient is φ = 1152614400.

The previous prime is 3374335997. The next prime is 3374336047. The reversal of 3374336000 is 6334733.

It can be written as a sum of positive squares in 4 ways, for example, as 313148416 + 3061187584 = 17696^2 + 55328^2 .

It is a super-2 number, since 2×3374336000² = 22772286881792000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12543866 + ... + 12544134.

Almost surely, 2^3374336000 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 3374336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915719900).

3374336000 is an abundant number, since it is smaller than the sum of its proper divisors (6457103800).

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

3374336000 is an equidigital number, since it uses as much as digits as its factorization.

3374336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 29.

The square root of 3374336000 is about 58089.0351099069. The cubic root of 3374336000 is about 1499.9016231778.

The spelling of 3374336000 in words is "three billion, three hundred seventy-four million, three hundred thirty-six thousand".