3581120 has 84 divisors (see below), whose sum is σ = 9290304. Its totient is φ = 1313280.

The previous prime is 3581117. The next prime is 3581129. The reversal of 3581120 is 211853.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3581092 and 3581101.

It is not an unprimeable number, because it can be changed into a prime (3581129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115505 + ... + 115535.

Almost surely, 2^3581120 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 3581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645152).

3581120 is an abundant number, since it is smaller than the sum of its proper divisors (5709184).

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

3581120 is a wasteful number, since it uses less digits than its factorization.

3581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 3581120 is about 1892.3847388943. The cubic root of 3581120 is about 152.9934922546.

Adding to 3581120 its reverse (211853), we get a palindrome (3792973).

It can be divided in two parts, 358 and 1120, that multiplied together give a triangular number (400960 = T₈₉₅).

The spelling of 3581120 in words is "three million, five hundred eighty-one thousand, one hundred twenty".