3563040 has 96 divisors (see below), whose sum is σ = 12108096. Its totient is φ = 875520.

The previous prime is 3563039. The next prime is 3563041. The reversal of 3563040 is 403653.

It is an interprime number because it is at equal distance from previous prime (3563039) and next prime (3563041).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3562998 and 3563016.

It is not an unprimeable number, because it can be changed into a prime (3563041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5955 + ... + 6525.

It is an arithmetic number, because the mean of its divisors is an integer number (126126).

Almost surely, 2^3563040 is an apocalyptic number.

3563040 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 3563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054048).

3563040 is an abundant number, since it is smaller than the sum of its proper divisors (8545056).

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

3563040 is a wasteful number, since it uses less digits than its factorization.

3563040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 3563040 is about 1887.6016528918. The cubic root of 3563040 is about 152.7355849939.

Adding to 3563040 its reverse (403653), we get a palindrome (3966693).

The spelling of 3563040 in words is "three million, five hundred sixty-three thousand, forty".