3304143333400 has 288 divisors, whose sum is σ = 10042205070240. Its totient is φ = 1000240496640.

The previous prime is 3304143333383. The next prime is 3304143333443. The reversal of 3304143333400 is 43333414033.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2366392 + ... + 3494008.

It is an arithmetic number, because the mean of its divisors is an integer number (34868767605).

Almost surely, 2^{3304143333400} 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 3304143333400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021102535120).

3304143333400 is an abundant number, since it is smaller than the sum of its proper divisors (6738061736840).

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

3304143333400 is a wasteful number, since it uses less digits than its factorization.

3304143333400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127683 (or 1127667 counting only the distinct ones).

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

Adding to 3304143333400 its reverse (43333414033), we get a palindrome (3347476747433).

The spelling of 3304143333400 in words is "three trillion, three hundred four billion, one hundred forty-three million, three hundred thirty-three thousand, four hundred".