3984534348480 has 1680 divisors, whose sum is σ = 18023806285056. Its totient is φ = 829386915840.

The previous prime is 3984534348467. The next prime is 3984534348491. The reversal of 3984534348480 is 848434354893.

3984534348480 is a `hidden beast` number, since 3 + 9 + 8 + 45 + 3 + 434 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 239 ways as a sum of consecutive naturals, for example, 669329184 + ... + 669335136.

Almost surely, 2^{3984534348480} is an apocalyptic number.

3984534348480 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 3984534348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011903142528).

3984534348480 is an abundant number, since it is smaller than the sum of its proper divisors (14039271936576).

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

3984534348480 is a wasteful number, since it uses less digits than its factorization.

3984534348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6044 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 3984534348480 in words is "three trillion, nine hundred eighty-four billion, five hundred thirty-four million, three hundred forty-eight thousand, four hundred eighty".