3628001 has 8 divisors (see below), whose sum is σ = 3935400. Its totient is φ = 3324672.

The previous prime is 3627989. The next prime is 3628007. The reversal of 3628001 is 1008263.

It can be written as a sum of positive squares in 4 ways, for example, as 384400 + 3243601 = 620^2 + 1801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3628001 - 2⁶ = 3627937 is a prime.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 1001 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (491925).

Almost surely, 2^3628001 is an apocalyptic number.

It is an amenable number.

3628001 is a deficient number, since it is larger than the sum of its proper divisors (307399).

3628001 is a wasteful number, since it uses less digits than its factorization.

3628001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 3628001 is about 1904.7312146337. The cubic root of 3628001 is about 153.6582205011.

The spelling of 3628001 in words is "three million, six hundred twenty-eight thousand, one".