3600144 has 60 divisors (see below), whose sum is σ = 10523136. Its totient is φ = 1146816.

The previous prime is 3600133. The next prime is 3600173. The reversal of 3600144 is 4410063.

It is a super-2 number, since 2×3600144² = 25922073641472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2769 + ... + 3855.

Almost surely, 2^3600144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3600144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261568).

3600144 is an abundant number, since it is smaller than the sum of its proper divisors (6922992).

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

3600144 is a wasteful number, since it uses less digits than its factorization.

3600144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3600144 is about 1897.4045430535. The cubic root of 3600144 is about 153.2639299433.

It can be divided in two parts, 3600 and 144, that multiplied together give a square (518400 = 720²).

The spelling of 3600144 in words is "three million, six hundred thousand, one hundred forty-four".