3563120 has 40 divisors (see below), whose sum is σ = 9039600. Its totient is φ = 1295360.

The previous prime is 3563111. The next prime is 3563141. The reversal of 3563120 is 213653.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 3563092 and 3563101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1145 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (225990).

Almost surely, 2^3563120 is an apocalyptic number.

It is an amenable number.

3563120 is an abundant number, since it is smaller than the sum of its proper divisors (5476480).

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

3563120 is a wasteful number, since it uses less digits than its factorization.

3563120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4073 (or 4067 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3563120 is about 1887.6228436846. The cubic root of 3563120 is about 152.7367280960.

Adding to 3563120 its reverse (213653), we get a palindrome (3776773).

The spelling of 3563120 in words is "three million, five hundred sixty-three thousand, one hundred twenty".