3628800003 has 16 divisors (see below), whose sum is σ = 4855518720. Its totient is φ = 2410656864.

The previous prime is 3628800001. The next prime is 3628800037. The reversal of 3628800003 is 3000088263.

It is not a de Polignac number, because 3628800003 - 2¹ = 3628800001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3628800001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1405768 + ... + 1408346.

It is an arithmetic number, because the mean of its divisors is an integer number (303469920).

Almost surely, 2^3628800003 is an apocalyptic number.

3628800003 is a deficient number, since it is larger than the sum of its proper divisors (1226718717).

3628800003 is a wasteful number, since it uses less digits than its factorization.

3628800003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3628800003 is about 60239.5219353540. The cubic root of 3628800003 is about 1536.6949984085.

Adding to 3628800003 its reverse (3000088263), we get a palindrome (6628888266).

The spelling of 3628800003 in words is "three billion, six hundred twenty-eight million, eight hundred thousand, three".