3428326080000 has 1200 divisors, whose sum is σ = 13480678989360. Its totient is φ = 859815936000.

The previous prime is 3428326079999. The next prime is 3428326080013. The reversal of 3428326080000 is 806238243.

3428326080000 is a `hidden beast` number, since 3 + 42 + 8 + 3 + 2 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 2496959314 + ... + 2496960686.

Almost surely, 2^{3428326080000} is an apocalyptic number.

3428326080000 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 3428326080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740339494680).

3428326080000 is an abundant number, since it is smaller than the sum of its proper divisors (10052352909360).

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

3428326080000 is an equidigital number, since it uses as much as digits as its factorization.

3428326080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1400 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3428326080000 in words is "three trillion, four hundred twenty-eight billion, three hundred twenty-six million, eighty thousand".