3884160 has 192 divisors, whose sum is σ = 15030720. Its totient is φ = 835584.

The previous prime is 3884159. The next prime is 3884161. The reversal of 3884160 is 614883.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3884159) and next prime (3884161).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3884161) 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, 228472 + ... + 228488.

It is an arithmetic number, because the mean of its divisors is an integer number (78285).

Almost surely, 2^3884160 is an apocalyptic number.

3884160 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 3884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515360).

3884160 is an abundant number, since it is smaller than the sum of its proper divisors (11146560).

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

3884160 is a wasteful number, since it uses less digits than its factorization.

3884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3884160 is about 1970.8272374818. The cubic root of 3884160 is about 157.1926988691.

The spelling of 3884160 in words is "three million, eight hundred eighty-four thousand, one hundred sixty".