3306706168896 has 896 divisors, whose sum is σ = 11326036377600. Its totient is φ = 937449676800.

The previous prime is 3306706168849. The next prime is 3306706168901. The reversal of 3306706168896 is 6988616076033.

3306706168896 is a `hidden beast` number, since 3 + 3 + 0 + 6 + 7 + 0 + 616 + 8 + 8 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2872897921 + ... + 2872899071.

It is an arithmetic number, because the mean of its divisors is an integer number (12640665600).

Almost surely, 2^{3306706168896} is an apocalyptic number.

3306706168896 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 3306706168896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663018188800).

3306706168896 is an abundant number, since it is smaller than the sum of its proper divisors (8019330208704).

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

3306706168896 is a wasteful number, since it uses less digits than its factorization.

3306706168896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 3306706168896 in words is "three trillion, three hundred six billion, seven hundred six million, one hundred sixty-eight thousand, eight hundred ninety-six".