3638272 has 88 divisors (see below), whose sum is σ = 8843040. Its totient is φ = 1474560.

The previous prime is 3638267. The next prime is 3638279. The reversal of 3638272 is 2728363.

It is a tau number, because it is divible by the number of its divisors (88).

It is not an unprimeable number, because it can be changed into a prime (3638279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191479 + ... + 191497.

Almost surely, 2^3638272 is an apocalyptic number.

3638272 is a gapful number since it is divisible by the number (32) 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 3638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4421520).

3638272 is an abundant number, since it is smaller than the sum of its proper divisors (5204768).

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

3638272 is a wasteful number, since it uses less digits than its factorization.

3638272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 49 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 3638272 is about 1907.4254900258. The cubic root of 3638272 is about 153.8030878431.

Subtracting from 3638272 its reverse (2728363), we obtain a palindrome (909909).

The spelling of 3638272 in words is "three million, six hundred thirty-eight thousand, two hundred seventy-two".