3002204104400 has 120 divisors (see below), whose sum is σ = 7306713947520. Its totient is φ = 1185255751680.

The previous prime is 3002204104399. The next prime is 3002204104447. The reversal of 3002204104400 is 44014022003.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96901712 + ... + 96932688.

It is an arithmetic number, because the mean of its divisors is an integer number (60889282896).

Almost surely, 2^{3002204104400} 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 3002204104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653356973760).

3002204104400 is an abundant number, since it is smaller than the sum of its proper divisors (4304509843120).

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

3002204104400 is a wasteful number, since it uses less digits than its factorization.

3002204104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34141 (or 34130 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 3002204104400 its reverse (44014022003), we get a palindrome (3046218126403).

The spelling of 3002204104400 in words is "three trillion, two billion, two hundred four million, one hundred four thousand, four hundred".