3661120 has 56 divisors (see below), whose sum is σ = 9244584. Its totient is φ = 1376256.

The previous prime is 3661111. The next prime is 3661123. The reversal of 3661120 is 211663.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 3154176 = 712^2 + 1776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3661123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5104 + ... + 5776.

Almost surely, 2^3661120 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 3661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4622292).

3661120 is an abundant number, since it is smaller than the sum of its proper divisors (5583464).

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

3661120 is a wasteful number, since it uses less digits than its factorization.

3661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 3661120 is about 1913.4053412699. The cubic root of 3661120 is about 154.1243724578.

Adding to 3661120 its reverse (211663), we get a palindrome (3872783).

The spelling of 3661120 in words is "three million, six hundred sixty-one thousand, one hundred twenty".