3645984 has 48 divisors (see below), whose sum is σ = 9670752. Its totient is φ = 1202688.

The previous prime is 3645979. The next prime is 3645997. The reversal of 3645984 is 4895463.

It is a tau number, because it is divible by the number of its divisors (48).

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, 15532 + ... + 15764.

It is an arithmetic number, because the mean of its divisors is an integer number (201474).

Almost surely, 2^3645984 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 3645984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835376).

3645984 is an abundant number, since it is smaller than the sum of its proper divisors (6024768).

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

3645984 is a wasteful number, since it uses less digits than its factorization.

3645984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 3645984 is about 1909.4459929519. The cubic root of 3645984 is about 153.9116826490.

The spelling of 3645984 in words is "three million, six hundred forty-five thousand, nine hundred eighty-four".