3844028160 has 432 divisors, whose sum is σ = 15431742144. Its totient is φ = 865271808.

The previous prime is 3844028147. The next prime is 3844028171. The reversal of 3844028160 is 618204483.

3844028160 is a `hidden beast` number, since 38 + 440 + 28 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5886394 + ... + 5887046.

Almost surely, 2^3844028160 is an apocalyptic number.

3844028160 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 3844028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7715871072).

3844028160 is an abundant number, since it is smaller than the sum of its proper divisors (11587713984).

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

3844028160 is a wasteful number, since it uses less digits than its factorization.

3844028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3844028160 is about 62000.2270963583. The cubic root of 3844028160 is about 1566.4944246032.

The spelling of 3844028160 in words is "three billion, eight hundred forty-four million, twenty-eight thousand, one hundred sixty".