3672142781184 has 648 divisors, whose sum is σ = 11334241533888. Its totient is φ = 1186749480960.

The previous prime is 3672142781149. The next prime is 3672142781221. The reversal of 3672142781184 is 4811872412763.

3672142781184 is a `hidden beast` number, since 3 + 67 + 2 + 1 + 427 + 81 + 1 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3672142781184.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 14288493184 + ... + 14288493440.

Almost surely, 2^{3672142781184} 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 3672142781184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5667120766944).

3672142781184 is an abundant number, since it is smaller than the sum of its proper divisors (7662098752704).

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

3672142781184 is an frugal number, since it uses more digits than its factorization.

3672142781184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 490 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 3672142781184 in words is "three trillion, six hundred seventy-two billion, one hundred forty-two million, seven hundred eighty-one thousand, one hundred eighty-four".