3878882982144 has 567 divisors, whose sum is σ = 11984395009377. Its totient is φ = 1252405297152.

The previous prime is 3878882982127. The next prime is 3878882982173. The reversal of 3878882982144 is 4412892888783.

The square root of 3878882982144 is 1969488.

It is a perfect power (a square), and thus also a powerful number.

3878882982144 is a `hidden beast` number, since 387 + 8 + 8 + 8 + 29 + 8 + 214 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1741766457600 + 2137116524544 = 1319760^2 + 1461888^2 .

It is a super-3 number, since 3×3878882982144³ (a number of 39 digits) contains 333 as substring.

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

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 62 ways as a sum of consecutive naturals, for example, 39988484304 + ... + 39988484400.

Almost surely, 2^{3878882982144} is an apocalyptic number.

3878882982144 is the 1969488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878882982144

3878882982144 is an abundant number, since it is smaller than the sum of its proper divisors (8105512027233).

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

3878882982144 is an frugal number, since it uses more digits than its factorization.

3878882982144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 149 counting only the distinct ones).

The product of its digits is 396361728, while the sum is 72.

The spelling of 3878882982144 in words is "three trillion, eight hundred seventy-eight billion, eight hundred eighty-two million, nine hundred eighty-two thousand, one hundred forty-four".