3846560 has 48 divisors (see below), whose sum is σ = 9412200. Its totient is φ = 1483776.

The previous prime is 3846541. The next prime is 3846571. The reversal of 3846560 is 656483.

It can be written as a sum of positive squares in 4 ways, for example, as 3225616 + 620944 = 1796^2 + 788^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4226 + ... + 5054.

Almost surely, 2^3846560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706100).

3846560 is an abundant number, since it is smaller than the sum of its proper divisors (5565640).

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

3846560 is a wasteful number, since it uses less digits than its factorization.

3846560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 3846560 is about 1961.2648979676. The cubic root of 3846560 is about 156.6838269016.

The spelling of 3846560 in words is "three million, eight hundred forty-six thousand, five hundred sixty".