3338826016896 has 512 divisors, whose sum is σ = 10312723872000. Its totient is φ = 1062559088640.

The previous prime is 3338826016873. The next prime is 3338826017003. The reversal of 3338826016896 is 6986106288333.

3338826016896 is a `hidden beast` number, since 3 + 3 + 388 + 2 + 6 + 0 + 168 + 96 = 666.

It is a super-2 number, since 2×3338826016896² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1568259160 + ... + 1568261288.

Almost surely, 2^{3338826016896} is an apocalyptic number.

3338826016896 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 3338826016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5156361936000).

3338826016896 is an abundant number, since it is smaller than the sum of its proper divisors (6973897855104).

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

3338826016896 is a wasteful number, since it uses less digits than its factorization.

3338826016896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3338826016896 in words is "three trillion, three hundred thirty-eight billion, eight hundred twenty-six million, sixteen thousand, eight hundred ninety-six".