3886416 has 60 divisors (see below), whose sum is σ = 11011572. Its totient is φ = 1279488.

The previous prime is 3886403. The next prime is 3886417. The reversal of 3886416 is 6146883.

3886416 = 63³ + 64³ + ... + 74³.

It is a happy number.

3886416 is a `hidden beast` number, since 3 + 8 + 8 + 641 + 6 = 666.

3886416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3240000 + 646416 = 1800^2 + 804^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3886417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19630 + ... + 19826.

Almost surely, 2^3886416 is an apocalyptic number.

3886416 is a gapful number since it is divisible by the number (36) 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 3886416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505786).

3886416 is an abundant number, since it is smaller than the sum of its proper divisors (7125156).

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

3886416 is a wasteful number, since it uses less digits than its factorization.

3886416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 339 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3886416 is about 1971.3995028913. The cubic root of 3886416 is about 157.2231265628.

The spelling of 3886416 in words is "three million, eight hundred eighty-six thousand, four hundred sixteen".