3840761184 has 48 divisors (see below), whose sum is σ = 10857539952. Its totient is φ = 1181772288.

The previous prime is 3840761167. The next prime is 3840761203. The reversal of 3840761184 is 4811670483.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1537519 + ... + 1540014.

It is an arithmetic number, because the mean of its divisors is an integer number (226198749).

Almost surely, 2^3840761184 is an apocalyptic number.

It is an amenable number.

3840761184 is an abundant number, since it is smaller than the sum of its proper divisors (7016778768).

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

3840761184 is a wasteful number, since it uses less digits than its factorization.

3840761184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077559 (or 3077551 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 3840761184 is about 61973.8750119758. The cubic root of 3840761184 is about 1566.0505195833.

The spelling of 3840761184 in words is "three billion, eight hundred forty million, seven hundred sixty-one thousand, one hundred eighty-four".