3884080 has 40 divisors (see below), whose sum is σ = 9231552. Its totient is φ = 1519104.

The previous prime is 3884071. The next prime is 3884081. The reversal of 3884080 is 804883.

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

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3884081) 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, 3244 + ... + 4276.

Almost surely, 2^3884080 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 3884080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615776).

3884080 is an abundant number, since it is smaller than the sum of its proper divisors (5347472).

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

3884080 is a wasteful number, since it uses less digits than its factorization.

3884080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 3884080 is about 1970.8069413314. The cubic root of 3884080 is about 157.1916196565.

The spelling of 3884080 in words is "three million, eight hundred eighty-four thousand, eighty".