3628584405 has 32 divisors (see below), whose sum is σ = 6455819520. Its totient is φ = 1933744320.

The previous prime is 3628584389. The next prime is 3628584409. The reversal of 3628584405 is 5044858263.

3628584405 is a `hidden beast` number, since 3 + 6 + 28 + 584 + 40 + 5 = 666.

It is not a de Polignac number, because 3628584405 - 2⁴ = 3628584389 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628584409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176704 + ... + 196166.

It is an arithmetic number, because the mean of its divisors is an integer number (201744360).

Almost surely, 2^3628584405 is an apocalyptic number.

It is an amenable number.

3628584405 is a deficient number, since it is larger than the sum of its proper divisors (2827235115).

3628584405 is a wasteful number, since it uses less digits than its factorization.

3628584405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20858 (or 20852 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 3628584405 is about 60237.7324025399. The cubic root of 3628584405 is about 1536.6645645709.

The spelling of 3628584405 in words is "three billion, six hundred twenty-eight million, five hundred eighty-four thousand, four hundred five".