3896083584 has 128 divisors (see below), whose sum is σ = 11657131200. Its totient is φ = 1280821248.

The previous prime is 3896083549. The next prime is 3896083601. The reversal of 3896083584 is 4853806983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3896083584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244567 + ... + 260009.

Almost surely, 2^3896083584 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 3896083584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828565600).

3896083584 is an abundant number, since it is smaller than the sum of its proper divisors (7761047616).

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

3896083584 is a wasteful number, since it uses less digits than its factorization.

3896083584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15539 (or 15521 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 3896083584 is about 62418.6156847458. The cubic root of 3896083584 is about 1573.5338446611.

The spelling of 3896083584 in words is "three billion, eight hundred ninety-six million, eighty-three thousand, five hundred eighty-four".