3886272 has 112 divisors (see below), whose sum is σ = 12374880. Its totient is φ = 1188864.

The previous prime is 3886237. The next prime is 3886273. The reversal of 3886272 is 2726883.

It is a happy number.

3886272 is a `hidden beast` number, since 388 + 6 + 272 = 666.

It is a super-2 number, since 2×3886272² = 30206220115968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3886273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22378 + ... + 22550.

It is an arithmetic number, because the mean of its divisors is an integer number (110490).

Almost surely, 2^3886272 is an apocalyptic number.

3886272 is a gapful number since it is divisible by the number (32) 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 3886272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187440).

3886272 is an abundant number, since it is smaller than the sum of its proper divisors (8488608).

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

3886272 is a wasteful number, since it uses less digits than its factorization.

3886272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3886272 is about 1971.3629802753. The cubic root of 3886272 is about 157.2211847214.

The spelling of 3886272 in words is "three million, eight hundred eighty-six thousand, two hundred seventy-two".