3426226121736 has 256 divisors, whose sum is σ = 10562154624000. Its totient is φ = 1020415242240.

The previous prime is 3426226121719. The next prime is 3426226121743. The reversal of 3426226121736 is 6371216226243.

3426226121736 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 22 + 612 + 1 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×3426226121736² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3426226121691 and 3426226121700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38016135 + ... + 38106153.

It is an arithmetic number, because the mean of its divisors is an integer number (41258416500).

Almost surely, 2^{3426226121736} is an apocalyptic number.

3426226121736 is a gapful number since it is divisible by the number (36) 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 3426226121736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5281077312000).

3426226121736 is an abundant number, since it is smaller than the sum of its proper divisors (7135928502264).

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

3426226121736 is a wasteful number, since it uses less digits than its factorization.

3426226121736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90321 (or 90311 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The spelling of 3426226121736 in words is "three trillion, four hundred twenty-six billion, two hundred twenty-six million, one hundred twenty-one thousand, seven hundred thirty-six".