3338196644160 has 1008 divisors, whose sum is σ = 13996065358080. Its totient is φ = 715226480640.

The previous prime is 3338196644149. The next prime is 3338196644183. The reversal of 3338196644160 is 614466918333.

3338196644160 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 196 + 6 + 441 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×3338196644160² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3338196644097 and 3338196644106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1637172421 + ... + 1637174459.

Almost surely, 2^{3338196644160} is an apocalyptic number.

3338196644160 is a gapful number since it is divisible by the number (30) 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 3338196644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998032679040).

3338196644160 is an abundant number, since it is smaller than the sum of its proper divisors (10657868713920).

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

3338196644160 is a wasteful number, since it uses less digits than its factorization.

3338196644160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3338196644160 in words is "three trillion, three hundred thirty-eight billion, one hundred ninety-six million, six hundred forty-four thousand, one hundred sixty".