3105609984 has 243 divisors, whose sum is σ = 9519425643. Its totient is φ = 1011128832.

The previous prime is 3105609953. The next prime is 3105610091. The reversal of 3105609984 is 4899065013.

It is a happy number.

The square root of 3105609984 is 55728.

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

3105609984 is a `hidden beast` number, since 3 + 1 + 0 + 560 + 9 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (243).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72223467 + ... + 72223509.

Almost surely, 2^3105609984 is an apocalyptic number.

3105609984 is the 55728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3105609984

3105609984 is an abundant number, since it is smaller than the sum of its proper divisors (6413815659).

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

3105609984 is an frugal number, since it uses more digits than its factorization.

3105609984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 3105609984 is about 1458.9787666677.

It can be divided in two parts, 3105 and 609984, that added together give a square (613089 = 783²).

The spelling of 3105609984 in words is "three billion, one hundred five million, six hundred nine thousand, nine hundred eighty-four".