3648445056 has 288 divisors, whose sum is σ = 11478280320. Its totient is φ = 1111034880.

The previous prime is 3648445043. The next prime is 3648445061. The reversal of 3648445056 is 6505448463.

3648445056 is a `hidden beast` number, since 3 + 64 + 84 + 4 + 505 + 6 = 666.

3648445056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3648445056³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12891891 + ... + 12892173.

It is an arithmetic number, because the mean of its divisors is an integer number (39855140).

Almost surely, 2^3648445056 is an apocalyptic number.

3648445056 is a gapful number since it is divisible by the number (36) 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 3648445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5739140160).

3648445056 is an abundant number, since it is smaller than the sum of its proper divisors (7829835264).

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

3648445056 is a wasteful number, since it uses less digits than its factorization.

3648445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 3648445056 is about 60402.3596890055. The cubic root of 3648445056 is about 1539.4630522501.

The spelling of 3648445056 in words is "three billion, six hundred forty-eight million, four hundred forty-five thousand, fifty-six".