3412419225606 has 192 divisors, whose sum is σ = 8226443047680. Its totient is φ = 1018150560000.

The previous prime is 3412419225599. The next prime is 3412419225613. The reversal of 3412419225606 is 6065229142143.

3412419225606 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 4 + 19 + 2 + 25 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (3412419225599) and next prime (3412419225613).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94114981 + ... + 94151231.

It is an arithmetic number, because the mean of its divisors is an integer number (42846057540).

Almost surely, 2^{3412419225606} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412419225606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113221523840).

3412419225606 is an abundant number, since it is smaller than the sum of its proper divisors (4814023822074).

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

3412419225606 is a wasteful number, since it uses less digits than its factorization.

3412419225606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36531 (or 36528 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3412419225606 in words is "three trillion, four hundred twelve billion, four hundred nineteen million, two hundred twenty-five thousand, six hundred six".