3672728967168 has 432 divisors, whose sum is σ = 11057694396840. Its totient is φ = 1219499753472.

The previous prime is 3672728967119. The next prime is 3672728967169. The reversal of 3672728967168 is 8617698272763.

3672728967168 is a `hidden beast` number, since 3 + 67 + 272 + 89 + 67 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3672728967096 and 3672728967105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672728967169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5952558796 + ... + 5952559412.

Almost surely, 2^{3672728967168} 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 3672728967168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528847198420).

3672728967168 is an abundant number, since it is smaller than the sum of its proper divisors (7384965429672).

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

3672728967168 is an frugal number, since it uses more digits than its factorization.

3672728967168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1065 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 3672728967168 in words is "three trillion, six hundred seventy-two billion, seven hundred twenty-eight million, nine hundred sixty-seven thousand, one hundred sixty-eight".