3648048768 has 768 divisors, whose sum is σ = 14435366400. Its totient is φ = 856424448.

The previous prime is 3648048757. The next prime is 3648048793. The reversal of 3648048768 is 8678408463.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40989268 + ... + 40989356.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^3648048768 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 3648048768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

3648048768 is an abundant number, since it is smaller than the sum of its proper divisors (10787317632).

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

3648048768 is a wasteful number, since it uses less digits than its factorization.

3648048768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3648048768 is about 60399.0791982792. The cubic root of 3648048768 is about 1539.4073122646.

The spelling of 3648048768 in words is "three billion, six hundred forty-eight million, forty-eight thousand, seven hundred sixty-eight".