3984755616 has 72 divisors (see below), whose sum is σ = 11338445664. Its totient is φ = 1327455360.

The previous prime is 3984755611. The next prime is 3984755623. The reversal of 3984755616 is 6165574893.

3984755616 is a `hidden beast` number, since 3 + 9 + 8 + 4 + 75 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (3984755611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662575 + ... + 668561.

It is an arithmetic number, because the mean of its divisors is an integer number (157478412).

Almost surely, 2^3984755616 is an apocalyptic number.

3984755616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3984755616 is an abundant number, since it is smaller than the sum of its proper divisors (7353690048).

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

3984755616 is a wasteful number, since it uses less digits than its factorization.

3984755616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8314 (or 8303 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 3984755616 is about 63124.9207207423. The cubic root of 3984755616 is about 1585.3819054715.

The spelling of 3984755616 in words is "three billion, nine hundred eighty-four million, seven hundred fifty-five thousand, six hundred sixteen".