3648328320 has 768 divisors, whose sum is σ = 15432681600. Its totient is φ = 724598784.

The previous prime is 3648328303. The next prime is 3648328331. The reversal of 3648328320 is 238238463.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23237682 + ... + 23237838.

Almost surely, 2^3648328320 is an apocalyptic number.

3648328320 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 3648328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7716340800).

3648328320 is an abundant number, since it is smaller than the sum of its proper divisors (11784353280).

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

3648328320 is a wasteful number, since it uses less digits than its factorization.

3648328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3648328320 is about 60401.3933614118. The cubic root of 3648328320 is about 1539.4466331389.

The spelling of 3648328320 in words is "three billion, six hundred forty-eight million, three hundred twenty-eight thousand, three hundred twenty".