3396983204160 has 3360 divisors, whose sum is σ = 16109959477248. Its totient is φ = 650931240960.

The previous prime is 3396983204159. The next prime is 3396983204239. The reversal of 3396983204160 is 614023896933.

3396983204160 is a `hidden beast` number, since 3 + 396 + 98 + 3 + 2 + 0 + 4 + 160 = 666.

3396983204160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a junction number, because it is equal to n+sod(n) for n = 3396983204097 and 3396983204106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 64094022694 + ... + 64094022746.

Almost surely, 2^{3396983204160} is an apocalyptic number.

3396983204160 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 3396983204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8054979738624).

3396983204160 is an abundant number, since it is smaller than the sum of its proper divisors (12712976273088).

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

3396983204160 is a wasteful number, since it uses less digits than its factorization.

3396983204160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 3396983204160 in words is "three trillion, three hundred ninety-six billion, nine hundred eighty-three million, two hundred four thousand, one hundred sixty".