3213632167168 has 144 divisors (see below), whose sum is σ = 6894226241280. Its totient is φ = 1489637081088.

The previous prime is 3213632167159. The next prime is 3213632167217. The reversal of 3213632167168 is 8617612363123.

3213632167168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148858071 + ... + 148879657.

It is an arithmetic number, because the mean of its divisors is an integer number (47876571120).

Almost surely, 2^{3213632167168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213632167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447113120640).

3213632167168 is an abundant number, since it is smaller than the sum of its proper divisors (3680594074112).

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

3213632167168 is a wasteful number, since it uses less digits than its factorization.

3213632167168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22132 (or 22118 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 49.

The spelling of 3213632167168 in words is "three trillion, two hundred thirteen billion, six hundred thirty-two million, one hundred sixty-seven thousand, one hundred sixty-eight".