3648072960 has 432 divisors, whose sum is σ = 15190680960. Its totient is φ = 789626880.

The previous prime is 3648072929. The next prime is 3648072977. The reversal of 3648072960 is 692708463.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1530970 + ... + 1533350.

Almost surely, 2^3648072960 is an apocalyptic number.

3648072960 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 3648072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7595340480).

3648072960 is an abundant number, since it is smaller than the sum of its proper divisors (11542608000).

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

3648072960 is a wasteful number, since it uses less digits than its factorization.

3648072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3648072960 is about 60399.2794659009. The cubic root of 3648072960 is about 1539.4107151120.

The spelling of 3648072960 in words is "three billion, six hundred forty-eight million, seventy-two thousand, nine hundred sixty".