3421005299712 has 2160 divisors, whose sum is σ = 13959580835200. Its totient is φ = 801146142720.

The previous prime is 3421005299629. The next prime is 3421005299737. The reversal of 3421005299712 is 2179925001243.

3421005299712 is a `hidden beast` number, since 3 + 4 + 2 + 100 + 529 + 9 + 7 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 79558262763 + ... + 79558262805.

Almost surely, 2^{3421005299712} is an apocalyptic number.

3421005299712 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 3421005299712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979790417600).

3421005299712 is an abundant number, since it is smaller than the sum of its proper divisors (10538575535488).

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

3421005299712 is a wasteful number, since it uses less digits than its factorization.

3421005299712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 3421005299712 in words is "three trillion, four hundred twenty-one billion, five million, two hundred ninety-nine thousand, seven hundred twelve".