3603000 has 64 divisors (see below), whose sum is σ = 11250720. Its totient is φ = 960000.

The previous prime is 3602999. The next prime is 3603007. The reversal of 3603000 is 3063.

It is a Harshad number since it is a multiple of its sum of digits (12).

3603000 is an undulating number in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3603007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400 + ... + 3600.

Almost surely, 2^3603000 is an apocalyptic number.

3603000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3603000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625360).

3603000 is an abundant number, since it is smaller than the sum of its proper divisors (7647720).

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

3603000 is a wasteful number, since it uses less digits than its factorization.

3603000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3603000 is about 1898.1570008827. The cubic root of 3603000 is about 153.3044474047.

Adding to 3603000 its reverse (3063), we get a palindrome (3606063).

The spelling of 3603000 in words is "three million, six hundred three thousand".