3936816 has 80 divisors (see below), whose sum is σ = 12186720. Its totient is φ = 1209600.

The previous prime is 3936811. The next prime is 3936827. The reversal of 3936816 is 6186393.

It is a happy number.

3936816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 not an unprimeable number, because it can be changed into a prime (3936811) 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, 5266 + ... + 5966.

It is an arithmetic number, because the mean of its divisors is an integer number (152334).

Almost surely, 2^3936816 is an apocalyptic number.

3936816 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 3936816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

3936816 is an abundant number, since it is smaller than the sum of its proper divisors (8249904).

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

3936816 is a wasteful number, since it uses less digits than its factorization.

3936816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 719 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 3936816 is about 1984.1411240131. The cubic root of 3936816 is about 157.8998457294.

The spelling of 3936816 in words is "three million, nine hundred thirty-six thousand, eight hundred sixteen".