3872985984 has 192 divisors, whose sum is σ = 12784337280. Its totient is φ = 1102464000.

The previous prime is 3872985983. The next prime is 3872985997. The reversal of 3872985984 is 4895892783.

3872985984 is a `hidden beast` number, since 38 + 7 + 2 + 9 + 8 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872985983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2668459 + ... + 2669909.

It is an arithmetic number, because the mean of its divisors is an integer number (66585090).

Almost surely, 2^3872985984 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 3872985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392168640).

3872985984 is an abundant number, since it is smaller than the sum of its proper divisors (8911351296).

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

3872985984 is a wasteful number, since it uses less digits than its factorization.

3872985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1794 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The square root of 3872985984 is about 62233.3189216195. The cubic root of 3872985984 is about 1570.4181589991.

The spelling of 3872985984 in words is "three billion, eight hundred seventy-two million, nine hundred eighty-five thousand, nine hundred eighty-four".