3789844560 has 240 divisors, whose sum is σ = 13119410304. Its totient is φ = 979872768.

The previous prime is 3789844543. The next prime is 3789844571. The reversal of 3789844560 is 654489873.

3789844560 is a `hidden beast` number, since 3 + 78 + 9 + 8 + 4 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3789844497 and 3789844506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5169954 + ... + 5170686.

Almost surely, 2^3789844560 is an apocalyptic number.

3789844560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3789844560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6559705152).

3789844560 is an abundant number, since it is smaller than the sum of its proper divisors (9329565744).

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

3789844560 is a wasteful number, since it uses less digits than its factorization.

3789844560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3789844560 is about 61561.7134264471. The cubic root of 3789844560 is about 1559.0993815361.

The spelling of 3789844560 in words is "three billion, seven hundred eighty-nine million, eight hundred forty-four thousand, five hundred sixty".