3986496 has 70 divisors (see below), whose sum is σ = 11832590. Its totient is φ = 1327104.

The previous prime is 3986473. The next prime is 3986497. The reversal of 3986496 is 6946893.

It can be written as a sum of positive squares in only one way, i.e., 3240000 + 746496 = 1800^2 + 864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3986497) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4800 + ... + 5568.

It is an arithmetic number, because the mean of its divisors is an integer number (169037).

Almost surely, 2^3986496 is an apocalyptic number.

3986496 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 3986496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5916295).

3986496 is an abundant number, since it is smaller than the sum of its proper divisors (7846094).

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

3986496 is an equidigital number, since it uses as much as digits as its factorization.

3986496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 774 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 3986496 is about 1996.6211458361. The cubic root of 3986496 is about 158.5612682627.

The spelling of 3986496 in words is "three million, nine hundred eighty-six thousand, four hundred ninety-six".