3820160 has 64 divisors (see below), whose sum is σ = 9400320. Its totient is φ = 1483776.

The previous prime is 3820153. The next prime is 3820171. The reversal of 3820160 is 610283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 30017 + ... + 30143.

It is an arithmetic number, because the mean of its divisors is an integer number (146880).

Almost surely, 2^3820160 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 3820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4700160).

3820160 is an abundant number, since it is smaller than the sum of its proper divisors (5580160).

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

3820160 is a wasteful number, since it uses less digits than its factorization.

3820160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3820160 is about 1954.5229597014. The cubic root of 3820160 is about 156.3245489594.

The spelling of 3820160 in words is "three million, eight hundred twenty thousand, one hundred sixty".