3648000 has 160 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 921600.

The previous prime is 3647989. The next prime is 3648031. The reversal of 3648000 is 8463.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191991 + ... + 192009.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

Almost surely, 2^3648000 is an apocalyptic number.

3648000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6383520).

3648000 is an abundant number, since it is smaller than the sum of its proper divisors (9119040).

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

3648000 is an equidigital number, since it uses as much as digits as its factorization.

3648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3648000 is about 1909.9738218101. The cubic root of 3648000 is about 153.9400452511.

It can be divided in two parts, 36 and 48000, that multiplied together give a cube (1728000 = 120³).

The spelling of 3648000 in words is "three million, six hundred forty-eight thousand".