3609864 has 48 divisors (see below), whose sum is σ = 9866220. Its totient is φ = 1192320.

The previous prime is 3609863. The next prime is 3609871. The reversal of 3609864 is 4689063.

It can be written as a sum of positive squares in 2 ways, for example, as 2722500 + 887364 = 1650^2 + 942^2 .

It is a super-2 number, since 2×3609864² = 26062236196992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3609863) 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, 12894 + ... + 13170.

Almost surely, 2^3609864 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 3609864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933110).

3609864 is an abundant number, since it is smaller than the sum of its proper divisors (6256356).

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

3609864 is a wasteful number, since it uses less digits than its factorization.

3609864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3609864 is about 1899.9642101892. The cubic root of 3609864 is about 153.4017380150.

The spelling of 3609864 in words is "three million, six hundred nine thousand, eight hundred sixty-four".