3421056000000 has 784 divisors, whose sum is σ = 11672738087040. Its totient is φ = 890880000000.

The previous prime is 3421055999947. The next prime is 3421056000071. The reversal of 3421056000000 is 6501243.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22655999925 + ... + 22656000075.

Almost surely, 2^{3421056000000} is an apocalyptic number.

3421056000000 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 3421056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5836369043520).

3421056000000 is an abundant number, since it is smaller than the sum of its proper divisors (8251682087040).

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

3421056000000 is an frugal number, since it uses more digits than its factorization.

3421056000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 3421056000000 in words is "three trillion, four hundred twenty-one billion, fifty-six million", and thus it is an aban number.