3404246031200 has 432 divisors, whose sum is σ = 9870610428000. Its totient is φ = 1142868787200.

The previous prime is 3404246031181. The next prime is 3404246031239. The reversal of 3404246031200 is 21306424043.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 414692696 + ... + 414700904.

It is an arithmetic number, because the mean of its divisors is an integer number (22848635250).

Almost surely, 2^{3404246031200} 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 3404246031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935305214000).

3404246031200 is an abundant number, since it is smaller than the sum of its proper divisors (6466364396800).

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

3404246031200 is a wasteful number, since it uses less digits than its factorization.

3404246031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8443 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The spelling of 3404246031200 in words is "three trillion, four hundred four billion, two hundred forty-six million, thirty-one thousand, two hundred".