3426351170000 has 200 divisors, whose sum is σ = 9443149974720. Its totient is φ = 1191773440000.

The previous prime is 3426351169877. The next prime is 3426351170009. The reversal of 3426351170000 is 711536243.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426351170009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1852856 + ... + 3207144.

Almost surely, 2^{3426351170000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426351170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721574987360).

3426351170000 is an abundant number, since it is smaller than the sum of its proper divisors (6016798804720).

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

3426351170000 is a wasteful number, since it uses less digits than its factorization.

3426351170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354351 (or 1354330 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 3426351170000 in words is "three trillion, four hundred twenty-six billion, three hundred fifty-one million, one hundred seventy thousand".