3304114400 has 36 divisors (see below), whose sum is σ = 8066171232. Its totient is φ = 1321645440.

The previous prime is 3304114399. The next prime is 3304114403. The reversal of 3304114400 is 44114033.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3304114403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2064272 + ... + 2065871.

It is an arithmetic number, because the mean of its divisors is an integer number (224060312).

Almost surely, 2^3304114400 is an apocalyptic number.

It is an amenable number.

3304114400 is an abundant number, since it is smaller than the sum of its proper divisors (4762056832).

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

3304114400 is a wasteful number, since it uses less digits than its factorization.

3304114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130163 (or 4130150 counting only the distinct ones).

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

The square root of 3304114400 is about 57481.4265654568. The cubic root of 3304114400 is about 1489.4240375577.

Adding to 3304114400 its reverse (44114033), we get a palindrome (3348228433).

The spelling of 3304114400 in words is "three billion, three hundred four million, one hundred fourteen thousand, four hundred".