3563984 has 20 divisors (see below), whose sum is σ = 7144260. Its totient is φ = 1720320.

The previous prime is 3563983. The next prime is 3563993. The reversal of 3563984 is 4893653.

It can be written as a sum of positive squares in 2 ways, for example, as 2190400 + 1373584 = 1480^2 + 1172^2 .

It is a d-powerful number, because it can be written as 3³ + 5⁹ + 6² + 3¹³ + 9² + 8 + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3563983) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3377 + ... + 4304.

It is an arithmetic number, because the mean of its divisors is an integer number (357213).

Almost surely, 2^3563984 is an apocalyptic number.

It is an amenable number.

3563984 is an abundant number, since it is smaller than the sum of its proper divisors (3580276).

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

3563984 is a wasteful number, since it uses less digits than its factorization.

3563984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7718 (or 7712 counting only the distinct ones).

The product of its digits is 77760, while the sum is 38.

The square root of 3563984 is about 1887.8516890900. The cubic root of 3563984 is about 152.7490725084.

The spelling of 3563984 in words is "three million, five hundred sixty-three thousand, nine hundred eighty-four".