3839830560 has 144 divisors (see below), whose sum is σ = 13125392280. Its totient is φ = 1022238720.

The previous prime is 3839830559. The next prime is 3839830567. The reversal of 3839830560 is 650389383.

3839830560 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 83 + 0 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2259291024 + 1580539536 = 47532^2 + 39756^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3839830567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019080 + ... + 1022840.

Almost surely, 2^3839830560 is an apocalyptic number.

3839830560 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 3839830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562696140).

3839830560 is an abundant number, since it is smaller than the sum of its proper divisors (9285561720).

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

3839830560 is a wasteful number, since it uses less digits than its factorization.

3839830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3839830560 is about 61966.3663611156. The cubic root of 3839830560 is about 1565.9240236575.

The spelling of 3839830560 in words is "three billion, eight hundred thirty-nine million, eight hundred thirty thousand, five hundred sixty".