3669120 has 288 divisors, whose sum is σ = 15872220. Its totient is φ = 774144.

The previous prime is 3669119. The next prime is 3669163. The reversal of 3669120 is 219663.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 254016 = 1848^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282234 + ... + 282246.

Almost surely, 2^3669120 is an apocalyptic number.

3669120 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 3669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936110).

3669120 is an abundant number, since it is smaller than the sum of its proper divisors (12203100).

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

3669120 is a wasteful number, since it uses less digits than its factorization.

3669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3669120 is about 1915.4947141666. The cubic root of 3669120 is about 154.2365510612.

The spelling of 3669120 in words is "three million, six hundred sixty-nine thousand, one hundred twenty".