3304433331400 has 96 divisors (see below), whose sum is σ = 7814330431200. Its totient is φ = 1299153228800.

The previous prime is 3304433331319. The next prime is 3304433331401. The reversal of 3304433331400 is 41333344033.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3304433331401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83087520 + ... + 83127280.

It is an arithmetic number, because the mean of its divisors is an integer number (81399275325).

Almost surely, 2^{3304433331400} 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 3304433331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907165215600).

3304433331400 is an abundant number, since it is smaller than the sum of its proper divisors (4509897099800).

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

3304433331400 is a wasteful number, since it uses less digits than its factorization.

3304433331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46879 (or 46870 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 3304433331400 its reverse (41333344033), we get a palindrome (3345766675433).

The spelling of 3304433331400 in words is "three trillion, three hundred four billion, four hundred thirty-three million, three hundred thirty-one thousand, four hundred".