3304411400 has 96 divisors (see below), whose sum is σ = 7904494080. Its totient is φ = 1283904000.

The previous prime is 3304411399. The next prime is 3304411423. The reversal of 3304411400 is 41144033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2221457 + ... + 2222943.

It is an arithmetic number, because the mean of its divisors is an integer number (82338480).

Almost surely, 2^3304411400 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 3304411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952247040).

3304411400 is an abundant number, since it is smaller than the sum of its proper divisors (4600082680).

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

3304411400 is a wasteful number, since it uses less digits than its factorization.

3304411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3304411400 is about 57484.0099505941. The cubic root of 3304411400 is about 1489.4686633013.

Adding to 3304411400 its reverse (41144033), we get a palindrome (3345555433).

It can be divided in two parts, 33044 and 11400, that added together give a palindrome (44444).

The spelling of 3304411400 in words is "three billion, three hundred four million, four hundred eleven thousand, four hundred".