3651584 has 24 divisors (see below), whose sum is σ = 7305480. Its totient is φ = 1824768.

The previous prime is 3651559. The next prime is 3651607. The reversal of 3651584 is 4851563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3651584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1157 + ... + 2939.

It is an arithmetic number, because the mean of its divisors is an integer number (304395).

Almost surely, 2^3651584 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 3651584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3652740).

3651584 is an abundant number, since it is smaller than the sum of its proper divisors (3653896).

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

3651584 is an equidigital number, since it uses as much as digits as its factorization.

3651584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1785 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 3651584 is about 1910.9118242347. The cubic root of 3651584 is about 153.9904418648.

The spelling of 3651584 in words is "three million, six hundred fifty-one thousand, five hundred eighty-four".