3344462004000 has 2304 divisors, whose sum is σ = 13415550220800. Its totient is φ = 724598784000.

The previous prime is 3344462003999. The next prime is 3344462004043. The reversal of 3344462004000 is 4002644433.

It is a super-2 number, since 2×3344462004000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 383 ways as a sum of consecutive naturals, for example, 45814547964 + ... + 45814548036.

It is an arithmetic number, because the mean of its divisors is an integer number (5822721450).

Almost surely, 2^{3344462004000} is an apocalyptic number.

3344462004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344462004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6707775110400).

3344462004000 is an abundant number, since it is smaller than the sum of its proper divisors (10071088216800).

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

3344462004000 is a wasteful number, since it uses less digits than its factorization.

3344462004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 3344462004000 its reverse (4002644433), we get a palindrome (3348464648433).

The spelling of 3344462004000 in words is "three trillion, three hundred forty-four billion, four hundred sixty-two million, four thousand".