3672042845184 has 264 divisors, whose sum is σ = 12127866598848. Its totient is φ = 1048270602240.

The previous prime is 3672042845171. The next prime is 3672042845201. The reversal of 3672042845184 is 4815482402763.

3672042845184 is a `hidden beast` number, since 3 + 6 + 7 + 2 + 0 + 42 + 84 + 518 + 4 = 666.

3672042845184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3672042845184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78487719 + ... + 78534489.

It is an arithmetic number, because the mean of its divisors is an integer number (45938888632).

Almost surely, 2^{3672042845184} 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 3672042845184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063933299424).

3672042845184 is an abundant number, since it is smaller than the sum of its proper divisors (8455823753664).

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

3672042845184 is a wasteful number, since it uses less digits than its factorization.

3672042845184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48021 (or 48000 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3672042845184 in words is "three trillion, six hundred seventy-two billion, forty-two million, eight hundred forty-five thousand, one hundred eighty-four".