3628008 has 48 divisors (see below), whose sum is σ = 10073700. Its totient is φ = 1178880.

The previous prime is 3628007. The next prime is 3628033. The reversal of 3628008 is 8008263.

It can be written as a sum of positive squares in 2 ways, for example, as 3617604 + 10404 = 1902^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (3628007) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2338 + ... + 3566.

Almost surely, 2^3628008 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 3628008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5036850).

3628008 is an abundant number, since it is smaller than the sum of its proper divisors (6445692).

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

3628008 is a wasteful number, since it uses less digits than its factorization.

3628008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3628008 is about 1904.7330521624. The cubic root of 3628008 is about 153.6583193257.

The spelling of 3628008 in words is "three million, six hundred twenty-eight thousand, eight".