3169665534672 has 1440 divisors, whose sum is σ = 11823627239424. Its totient is φ = 784604620800.

The previous prime is 3169665534671. The next prime is 3169665534677. The reversal of 3169665534672 is 2764355669613.

3169665534672 is a `hidden beast` number, since 3 + 1 + 6 + 9 + 6 + 6 + 553 + 4 + 6 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3169665534671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24195920047 + ... + 24195920177.

Almost surely, 2^{3169665534672} 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 3169665534672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5911813619712).

3169665534672 is an abundant number, since it is smaller than the sum of its proper divisors (8653961704752).

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

3169665534672 is a wasteful number, since it uses less digits than its factorization.

3169665534672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 381 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 63.

The spelling of 3169665534672 in words is "three trillion, one hundred sixty-nine billion, six hundred sixty-five million, five hundred thirty-four thousand, six hundred seventy-two".