3004002102444 has 144 divisors (see below), whose sum is σ = 8450923995360. Its totient is φ = 827427363840.

The previous prime is 3004002102349. The next prime is 3004002102487. The reversal of 3004002102444 is 4442012004003.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1738024 + ... + 3004784.

It is an arithmetic number, because the mean of its divisors is an integer number (58686972190).

Almost surely, 2^{3004002102444} 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 3004002102444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4225461997680).

3004002102444 is an abundant number, since it is smaller than the sum of its proper divisors (5446921892916).

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

3004002102444 is a wasteful number, since it uses less digits than its factorization.

3004002102444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266928 (or 1266919 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 3004002102444 its reverse (4442012004003), we get a palindrome (7446014106447).

The spelling of 3004002102444 in words is "three trillion, four billion, two million, one hundred two thousand, four hundred forty-four".