3366383904 has 288 divisors, whose sum is σ = 10639989360. Its totient is φ = 1003290624.

The previous prime is 3366383903. The next prime is 3366383939. The reversal of 3366383904 is 4093836633.

3366383904 is a `hidden beast` number, since 3 + 3 + 6 + 638 + 3 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 508412304 + 2857971600 = 22548^2 + 53460^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3366383904² = 22665081178220562432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3366383904.

It is not an unprimeable number, because it can be changed into a prime (3366383903) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29790952 + ... + 29791064.

Almost surely, 2^3366383904 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 3366383904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5319994680).

3366383904 is an abundant number, since it is smaller than the sum of its proper divisors (7273605456).

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

3366383904 is a wasteful number, since it uses less digits than its factorization.

3366383904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The square root of 3366383904 is about 58020.5472569847. The cubic root of 3366383904 is about 1498.7224535590.

The spelling of 3366383904 in words is "three billion, three hundred sixty-six million, three hundred eighty-three thousand, nine hundred four".