3628404 has 36 divisors (see below), whose sum is σ = 9878596. Its totient is φ = 1116288.

The previous prime is 3628403. The next prime is 3628421. The reversal of 3628404 is 4048263.

It can be written as a sum of positive squares in 2 ways, for example, as 2396304 + 1232100 = 1548^2 + 1110^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628403) 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, 3409 + ... + 4344.

Almost surely, 2^3628404 is an apocalyptic number.

It is an amenable number.

3628404 is an abundant number, since it is smaller than the sum of its proper divisors (6250192).

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

3628404 is a wasteful number, since it uses less digits than its factorization.

3628404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7776 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3628404 is about 1904.8370009006. The cubic root of 3628404 is about 153.6639097655.

The spelling of 3628404 in words is "three million, six hundred twenty-eight thousand, four hundred four".