3306826048896 has 256 divisors, whose sum is σ = 9880063128000. Its totient is φ = 1088711737344.

The previous prime is 3306826048849. The next prime is 3306826048901. The reversal of 3306826048896 is 6988406286033.

3306826048896 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 8 + 2 + 60 + 488 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311577286 + ... + 311587898.

Almost surely, 2^{3306826048896} is an apocalyptic number.

3306826048896 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 3306826048896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4940031564000).

3306826048896 is an abundant number, since it is smaller than the sum of its proper divisors (6573237079104).

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

3306826048896 is a wasteful number, since it uses less digits than its factorization.

3306826048896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11738 (or 11720 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3306826048896 in words is "three trillion, three hundred six billion, eight hundred twenty-six million, forty-eight thousand, eight hundred ninety-six".