3421590076800 has 672 divisors, whose sum is σ = 14483266664880. Its totient is φ = 782073999360.

The previous prime is 3421590076777. The next prime is 3421590076811. The reversal of 3421590076800 is 86700951243.

3421590076800 is a `hidden beast` number, since 34 + 21 + 590 + 0 + 7 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 83 ways as a sum of consecutive naturals, for example, 16224834 + ... + 16434366.

It is a 1-persistent number, because it is pandigital, but 2⋅3421590076800 = 6843180153600 is not.

Almost surely, 2^{3421590076800} is an apocalyptic number.

3421590076800 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 3421590076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241633332440).

3421590076800 is an abundant number, since it is smaller than the sum of its proper divisors (11061676588080).

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

3421590076800 is an equidigital number, since it uses as much as digits as its factorization.

3421590076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209582 (or 209550 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3421590076800 in words is "three trillion, four hundred twenty-one billion, five hundred ninety million, seventy-six thousand, eight hundred".