3304004000 has 192 divisors, whose sum is σ = 9008423424. Its totient is φ = 1180800000.

The previous prime is 3304003999. The next prime is 3304004023. The reversal of 3304004000 is 4004033.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683385 + ... + 2684615.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^3304004000 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 3304004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

3304004000 is an abundant number, since it is smaller than the sum of its proper divisors (5704419424).

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

3304004000 is a wasteful number, since it uses less digits than its factorization.

3304004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 3304004000 is about 57480.4662472392. The cubic root of 3304004000 is about 1489.4074487208.

Adding to 3304004000 its reverse (4004033), we get a palindrome (3308008033).

The spelling of 3304004000 in words is "three billion, three hundred four million, four thousand".