3634272 has 36 divisors (see below), whose sum is σ = 10335780. Its totient is φ = 1211328.

The previous prime is 3634271. The next prime is 3634289. The reversal of 3634272 is 2724363.

3634272 is a `hidden beast` number, since 3 + 634 + 27 + 2 = 666.

3634272 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634271) 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 5 ways as a sum of consecutive naturals, for example, 6022 + ... + 6597.

It is an arithmetic number, because the mean of its divisors is an integer number (287105).

Almost surely, 2^3634272 is an apocalyptic number.

3634272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3634272 is an abundant number, since it is smaller than the sum of its proper divisors (6701508).

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

3634272 is a wasteful number, since it uses less digits than its factorization.

3634272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12635 (or 12624 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 3634272 is about 1906.3766679227. The cubic root of 3634272 is about 153.7467022890.

Subtracting from 3634272 its reverse (2724363), we obtain a palindrome (909909).

The spelling of 3634272 in words is "three million, six hundred thirty-four thousand, two hundred seventy-two".