3634368 has 56 divisors (see below), whose sum is σ = 10046208. Its totient is φ = 1157376.

The previous prime is 3634343. The next prime is 3634373. The reversal of 3634368 is 8634363.

3634368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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

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, 4005 + ... + 4827.

Almost surely, 2^3634368 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 3634368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5023104).

3634368 is an abundant number, since it is smaller than the sum of its proper divisors (6411840).

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

3634368 is a wasteful number, since it uses less digits than its factorization.

3634368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 851 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 3634368 is about 1906.4018464112. The cubic root of 3634368 is about 153.7480560267.

The spelling of 3634368 in words is "three million, six hundred thirty-four thousand, three hundred sixty-eight".