3627328 has 42 divisors (see below), whose sum is σ = 7645146. Its totient is φ = 1707264.

The previous prime is 3627317. The next prime is 3627329. The reversal of 3627328 is 8237263.

It can be written as a sum of positive squares in only one way, i.e., 2795584 + 831744 = 1672^2 + 912^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3627328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3627329) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23026 + ... + 23182.

Almost surely, 2^3627328 is an apocalyptic number.

3627328 is a gapful number since it is divisible by the number (38) 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 3627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822573).

3627328 is an abundant number, since it is smaller than the sum of its proper divisors (4017818).

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

3627328 is a wasteful number, since it uses less digits than its factorization.

3627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

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

The square root of 3627328 is about 1904.5545410935. The cubic root of 3627328 is about 153.6487186315.

The spelling of 3627328 in words is "three million, six hundred twenty-seven thousand, three hundred twenty-eight".