3628416 has 64 divisors (see below), whose sum is σ = 10526400. Its totient is φ = 1098240.

The previous prime is 3628403. The next prime is 3628421. The reversal of 3628416 is 6148263.

3628416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3795 + ... + 4653.

It is an arithmetic number, because the mean of its divisors is an integer number (164475).

Almost surely, 2^3628416 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 3628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263200).

3628416 is an abundant number, since it is smaller than the sum of its proper divisors (6897984).

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

3628416 is a wasteful number, since it uses less digits than its factorization.

3628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3628416 is about 1904.8401507738. The cubic root of 3628416 is about 153.6640791664.

It can be divided in two parts, 362 and 8416, that added together give a palindrome (8778).

The spelling of 3628416 in words is "three million, six hundred twenty-eight thousand, four hundred sixteen".