3105393984 has 224 divisors, whose sum is σ = 11382451200. Its totient is φ = 806561280.

The previous prime is 3105393983. The next prime is 3105394001. The reversal of 3105393984 is 4893935013.

3105393984 is a `hidden beast` number, since 3 + 1 + 0 + 539 + 39 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3105393983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121387 + ... + 144725.

Almost surely, 2^3105393984 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 3105393984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691225600).

3105393984 is an abundant number, since it is smaller than the sum of its proper divisors (8277057216).

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

3105393984 is a wasteful number, since it uses less digits than its factorization.

3105393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23378 (or 23362 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3105393984 is about 55726.0619818052. The cubic root of 3105393984 is about 1458.9449411367.

The spelling of 3105393984 in words is "three billion, one hundred five million, three hundred ninety-three thousand, nine hundred eighty-four".