3682272 has 72 divisors (see below), whose sum is σ = 10658088. Its totient is φ = 1112320.

The previous prime is 3682271. The next prime is 3682303. The reversal of 3682272 is 2722863.

3682272 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a d-powerful number, because it can be written as 3¹⁰ + 6⁶ + 8³ + 2¹⁷ + 2¹⁹ + 7⁷ + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682271) 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 11 ways as a sum of consecutive naturals, for example, 11458 + ... + 11774.

It is an arithmetic number, because the mean of its divisors is an integer number (148029).

Almost surely, 2^3682272 is an apocalyptic number.

3682272 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 3682272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5329044).

3682272 is an abundant number, since it is smaller than the sum of its proper divisors (6975816).

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

3682272 is a wasteful number, since it uses less digits than its factorization.

3682272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 333 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 3682272 is about 1918.9246988874. The cubic root of 3682272 is about 154.4206188291.

The spelling of 3682272 in words is "three million, six hundred eighty-two thousand, two hundred seventy-two".