3634816 has 32 divisors (see below), whose sum is σ = 7359300. Its totient is φ = 1787904.

The previous prime is 3634811. The next prime is 3634859. The reversal of 3634816 is 6184363.

3634816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3594816 + 40000 = 1896^2 + 200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (3634811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9150 + ... + 9538.

Almost surely, 2^3634816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3679650).

3634816 is an abundant number, since it is smaller than the sum of its proper divisors (3724484).

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

3634816 is an equidigital number, since it uses as much as digits as its factorization.

3634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 464 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 3634816 is about 1906.5193416276. The cubic root of 3634816 is about 153.7543731543.

The spelling of 3634816 in words is "three million, six hundred thirty-four thousand, eight hundred sixteen".