3648000304 has 80 divisors (see below), whose sum is σ = 8037645280. Its totient is φ = 1594453248.

The previous prime is 3648000287. The next prime is 3648000427. The reversal of 3648000304 is 4030008463.

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, 1425394 + ... + 1427950.

It is an arithmetic number, because the mean of its divisors is an integer number (100470566).

Almost surely, 2^3648000304 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 3648000304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4018822640).

3648000304 is an abundant number, since it is smaller than the sum of its proper divisors (4389644976).

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

3648000304 is a wasteful number, since it uses less digits than its factorization.

3648000304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 3648000304 is about 60398.6779987774. The cubic root of 3648000304 is about 1539.4004952718.

Adding to 3648000304 its reverse (4030008463), we get a palindrome (7678008767).

The spelling of 3648000304 in words is "three billion, six hundred forty-eight million, three hundred four", and thus it is an aban number.