3426185214144 has 896 divisors, whose sum is σ = 13128595292160. Its totient is φ = 849611980800.

The previous prime is 3426185214119. The next prime is 3426185214227. The reversal of 3426185214144 is 4414125816243.

3426185214144 is a `hidden beast` number, since 3 + 4 + 2 + 618 + 5 + 2 + 14 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3426185214144.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2971539072 + ... + 2971540224.

Almost surely, 2^{3426185214144} 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 3426185214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6564297646080).

3426185214144 is an abundant number, since it is smaller than the sum of its proper divisors (9702410078016).

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

3426185214144 is a wasteful number, since it uses less digits than its factorization.

3426185214144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2170 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 3426185214144 in words is "three trillion, four hundred twenty-six billion, one hundred eighty-five million, two hundred fourteen thousand, one hundred forty-four".