3366304144 has 80 divisors (see below), whose sum is σ = 7555409280. Its totient is φ = 1423180800.

The previous prime is 3366304087. The next prime is 3366304153. The reversal of 3366304144 is 4414036633.

It is a super-2 number, since 2×3366304144² = 22664007179823145472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5915892 + ... + 5916460.

It is an arithmetic number, because the mean of its divisors is an integer number (94442616).

Almost surely, 2^3366304144 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 3366304144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777704640).

3366304144 is an abundant number, since it is smaller than the sum of its proper divisors (4189105136).

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

3366304144 is a wasteful number, since it uses less digits than its factorization.

3366304144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 3366304144 is about 58019.8599102066. The cubic root of 3366304144 is about 1498.7106170156.

The spelling of 3366304144 in words is "three billion, three hundred sixty-six million, three hundred four thousand, one hundred forty-four".