3342004404024 has 256 divisors, whose sum is σ = 10084934522880. Its totient is φ = 909202821120.

The previous prime is 3342004403977. The next prime is 3342004404043. The reversal of 3342004404024 is 4204044002433.

It is a super-2 number, since 2×3342004404024² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342004403982 and 3342004404000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 566726644 + ... + 566732540.

It is an arithmetic number, because the mean of its divisors is an integer number (39394275480).

Almost surely, 2^{3342004404024} 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 3342004404024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5042467261440).

3342004404024 is an abundant number, since it is smaller than the sum of its proper divisors (6742930118856).

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

3342004404024 is a wasteful number, since it uses less digits than its factorization.

3342004404024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10426 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 3342004404024 its reverse (4204044002433), we get a palindrome (7546048406457).

The spelling of 3342004404024 in words is "three trillion, three hundred forty-two billion, four million, four hundred four thousand, twenty-four".