3996216 has 80 divisors (see below), whose sum is σ = 12806640. Its totient is φ = 1140480.

The previous prime is 3996211. The next prime is 3996221. The reversal of 3996216 is 6126993.

It is an interprime number because it is at equal distance from previous prime (3996211) and next prime (3996221).

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 (3996211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4096 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (160083).

Almost surely, 2^3996216 is an apocalyptic number.

3996216 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 3996216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403320).

3996216 is an abundant number, since it is smaller than the sum of its proper divisors (8810424).

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

3996216 is a wasteful number, since it uses less digits than its factorization.

3996216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 3996216 is about 1999.0537761651. The cubic root of 3996216 is about 158.6900333577.

The spelling of 3996216 in words is "three million, nine hundred ninety-six thousand, two hundred sixteen".