3886080 has 176 divisors, whose sum is σ = 14148864. Its totient is φ = 901120.

The previous prime is 3886079. The next prime is 3886093. The reversal of 3886080 is 806883.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168949 + ... + 168971.

Almost surely, 2^3886080 is an apocalyptic number.

3886080 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 3886080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074432).

3886080 is an abundant number, since it is smaller than the sum of its proper divisors (10262784).

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

3886080 is a wasteful number, since it uses less digits than its factorization.

3886080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 3886080 is about 1971.3142824015. The cubic root of 3886080 is about 157.2185955250.

The spelling of 3886080 in words is "three million, eight hundred eighty-six thousand, eighty".