3004402340000 has 240 divisors, whose sum is σ = 7490677315968. Its totient is φ = 1185678336000.

The previous prime is 3004402339979. The next prime is 3004402340041. The reversal of 3004402340000 is 432044003.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 673177769 + ... + 673182231.

Almost surely, 2^{3004402340000} 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 3004402340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745338657984).

3004402340000 is an abundant number, since it is smaller than the sum of its proper divisors (4486274975968).

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

3004402340000 is an equidigital number, since it uses as much as digits as its factorization.

3004402340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 3004402340000 its reverse (432044003), we get a palindrome (3004834384003).

The spelling of 3004402340000 in words is "three trillion, four billion, four hundred two million, three hundred forty thousand".