3304130400 has 576 divisors, whose sum is σ = 12861676800. Its totient is φ = 816168960.

The previous prime is 3304130383. The next prime is 3304130437. The reversal of 3304130400 is 40314033.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 34063152 + ... + 34063248.

It is an arithmetic number, because the mean of its divisors is an integer number (22329300).

Almost surely, 2^3304130400 is an apocalyptic number.

3304130400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6430838400).

3304130400 is an abundant number, since it is smaller than the sum of its proper divisors (9557546400).

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

3304130400 is a wasteful number, since it uses less digits than its factorization.

3304130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3304130400 is about 57481.5657406790. The cubic root of 3304130400 is about 1489.4264417063.

Adding to 3304130400 its reverse (40314033), we get a palindrome (3344444433).

The spelling of 3304130400 in words is "three billion, three hundred four million, one hundred thirty thousand, four hundred".