3426225136000 has 256 divisors, whose sum is σ = 8579018448000. Its totient is φ = 1360783564800.

The previous prime is 3426225135937. The next prime is 3426225136001. The reversal of 3426225136000 is 6315226243.

3426225136000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3426225136001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468590834 + ... + 1468593166.

Almost surely, 2^{3426225136000} 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 3426225136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289509224000).

3426225136000 is an abundant number, since it is smaller than the sum of its proper divisors (5152793312000).

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

3426225136000 is a wasteful number, since it uses less digits than its factorization.

3426225136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 3426225136000 in words is "three trillion, four hundred twenty-six billion, two hundred twenty-five million, one hundred thirty-six thousand".