3421093283712 has 896 divisors, whose sum is σ = 11672316633600. Its totient is φ = 989629747200.

The previous prime is 3421093283623. The next prime is 3421093283719. The reversal of 3421093283712 is 2173823901243.

3421093283712 is a `hidden beast` number, since 3 + 4 + 210 + 93 + 283 + 71 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421093283719) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3480257173 + ... + 3480258155.

It is an arithmetic number, because the mean of its divisors is an integer number (13027139100).

Almost surely, 2^{3421093283712} is an apocalyptic number.

3421093283712 is a gapful number since it is divisible by the number (32) 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 3421093283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836158316800).

3421093283712 is an abundant number, since it is smaller than the sum of its proper divisors (8251223349888).

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

3421093283712 is a wasteful number, since it uses less digits than its factorization.

3421093283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3421093283712 in words is "three trillion, four hundred twenty-one billion, ninety-three million, two hundred eighty-three thousand, seven hundred twelve".