3840654144 has 56 divisors (see below), whose sum is σ = 10759488768. Its totient is φ = 1204910080.

The previous prime is 3840654133. The next prime is 3840654151. The reversal of 3840654144 is 4414560483.

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, 585072 + ... + 591599.

It is an arithmetic number, because the mean of its divisors is an integer number (192133728).

Almost surely, 2^3840654144 is an apocalyptic number.

3840654144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3840654144 is an abundant number, since it is smaller than the sum of its proper divisors (6918834624).

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

3840654144 is a wasteful number, since it uses less digits than its factorization.

3840654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176703 (or 1176693 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 3840654144 is about 61973.0114162609. The cubic root of 3840654144 is about 1566.0359711126.

The spelling of 3840654144 in words is "three billion, eight hundred forty million, six hundred fifty-four thousand, one hundred forty-four".