3846160 has 40 divisors (see below), whose sum is σ = 9035136. Its totient is φ = 1522560.

The previous prime is 3846149. The next prime is 3846163. The reversal of 3846160 is 616483.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3846163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10297 + ... + 10663.

Almost surely, 2^3846160 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 3846160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4517568).

3846160 is an abundant number, since it is smaller than the sum of its proper divisors (5188976).

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

3846160 is a wasteful number, since it uses less digits than its factorization.

3846160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 3846160 is about 1961.1629203103. The cubic root of 3846160 is about 156.6783955808.

The spelling of 3846160 in words is "three million, eight hundred forty-six thousand, one hundred sixty".