3004314401 has 32 divisors (see below), whose sum is σ = 3448037376. Its totient is φ = 2593296000.

The previous prime is 3004314373. The next prime is 3004314457. The reversal of 3004314401 is 1044134003.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 3004314401 - 2¹⁸ = 3004052257 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3004314461) 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 31 ways as a sum of consecutive naturals, for example, 5744126 + ... + 5744648.

It is an arithmetic number, because the mean of its divisors is an integer number (107751168).

Almost surely, 2^3004314401 is an apocalyptic number.

It is an amenable number.

3004314401 is a deficient number, since it is larger than the sum of its proper divisors (443722975).

3004314401 is a wasteful number, since it uses less digits than its factorization.

3004314401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893.

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

The square root of 3004314401 is about 54811.6265129945. The cubic root of 3004314401 is about 1442.9406216927.

Adding to 3004314401 its reverse (1044134003), we get a palindrome (4048448404).

It can be divided in two parts, 30043 and 14401, that added together give a palindrome (44444).

The spelling of 3004314401 in words is "three billion, four million, three hundred fourteen thousand, four hundred one".