3624864 has 48 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 1186560.

The previous prime is 3624847. The next prime is 3624911. The reversal of 3624864 is 4684263.

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

It is a nude number because it is divisible by every one of its digits.

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, 5547 + ... + 6165.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 2^3624864 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 3624864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

3624864 is an abundant number, since it is smaller than the sum of its proper divisors (6062016).

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

3624864 is a wasteful number, since it uses less digits than its factorization.

3624864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3624864 is about 1903.9075607812. The cubic root of 3624864 is about 153.6139201794.

The spelling of 3624864 in words is "three million, six hundred twenty-four thousand, eight hundred sixty-four".