3878584733772 has 192 divisors, whose sum is σ = 11514488832000. Its totient is φ = 1106010884160.

The previous prime is 3878584733767. The next prime is 3878584733809. The reversal of 3878584733772 is 2773374858783.

3878584733772 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 58 + 473 + 37 + 72 = 666.

It is a super-2 number, since 2×3878584733772² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3878584733772.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1445613543 + ... + 1445616225.

It is an arithmetic number, because the mean of its divisors is an integer number (59971296000).

Almost surely, 2^{3878584733772} 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 3878584733772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5757244416000).

3878584733772 is an abundant number, since it is smaller than the sum of its proper divisors (7635904098228).

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

3878584733772 is a wasteful number, since it uses less digits than its factorization.

3878584733772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5705 counting only the distinct ones).

The product of its digits is 1327656960, while the sum is 72.

The spelling of 3878584733772 in words is "three trillion, eight hundred seventy-eight billion, five hundred eighty-four million, seven hundred thirty-three thousand, seven hundred seventy-two".