3827712 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1081344.

The previous prime is 3827701. The next prime is 3827723. The reversal of 3827712 is 2177283.

It is an interprime number because it is at equal distance from previous prime (3827701) and next prime (3827723).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3827712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42964 + ... + 43052.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^3827712 is an apocalyptic number.

3827712 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 3827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

3827712 is an abundant number, since it is smaller than the sum of its proper divisors (7965888).

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

3827712 is an equidigital number, since it uses as much as digits as its factorization.

3827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its digits is 4704, while the sum is 30.

The square root of 3827712 is about 1956.4539350570. The cubic root of 3827712 is about 156.4274928067.

The spelling of 3827712 in words is "three million, eight hundred twenty-seven thousand, seven hundred twelve".