3603120 has 40 divisors (see below), whose sum is σ = 11170416. Its totient is φ = 960768.

The previous prime is 3603107. The next prime is 3603151. The reversal of 3603120 is 213063.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3603120.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7267 + ... + 7746.

Almost surely, 2^3603120 is an apocalyptic number.

3603120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3603120 is an abundant number, since it is smaller than the sum of its proper divisors (7567296).

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

3603120 is a wasteful number, since it uses less digits than its factorization.

3603120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15029 (or 15023 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3603120 is about 1898.1886102282. The cubic root of 3603120 is about 153.3061493502.

Adding to 3603120 its reverse (213063), we get a palindrome (3816183).

The spelling of 3603120 in words is "three million, six hundred three thousand, one hundred twenty".