3984646882560 has 576 divisors, whose sum is σ = 13441500979200. Its totient is φ = 1004510674944.

The previous prime is 3984646882477. The next prime is 3984646882561. The reversal of 3984646882560 is 652886464893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984646882561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1859376849 + ... + 1859378991.

It is an arithmetic number, because the mean of its divisors is an integer number (23335939200).

Almost surely, 2^{3984646882560} is an apocalyptic number.

3984646882560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984646882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720750489600).

3984646882560 is an abundant number, since it is smaller than the sum of its proper divisors (9456854096640).

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

3984646882560 is a wasteful number, since it uses less digits than its factorization.

3984646882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2538 (or 2524 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 69.

The spelling of 3984646882560 in words is "three trillion, nine hundred eighty-four billion, six hundred forty-six million, eight hundred eighty-two thousand, five hundred sixty".