3600 has 45 divisors (see below), whose sum is σ = 12493. Its totient is φ = 960.

The previous prime is 3593. The next prime is 3607. The reversal of 3600 is 63.

3600 = T_{59} + T_{60}.

The square root of 3600 is 60.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3593) and next prime (3607).

It can be written as a sum of positive squares in only one way, i.e., 1296 + 2304 = 36^2 + 48^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Duffinian number.

It is a nialpdrome in base 12, base 15 and base 16.

It is a zygodrome in base 3 and base 15.

It is not an unprimeable number, because it can be changed into a prime (3607) by changing a digit.

3600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 718 + ... + 722.

3600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3600 is the 60-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3600

3600 is an abundant number, since it is smaller than the sum of its proper divisors (8893).

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

3600 is a wasteful number, since it uses less digits than its factorization.

3600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The cubic root of 3600 is about 15.3261886479.

Adding to 3600 its reverse (63), we get a palindrome (3663).

The spelling of 3600 in words is "three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600

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