3648337056 has 288 divisors, whose sum is σ = 12898424448. Its totient is φ = 952473600.

The previous prime is 3648337019. The next prime is 3648337061. The reversal of 3648337056 is 6507338463.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2803606 + ... + 2804906.

It is an arithmetic number, because the mean of its divisors is an integer number (44786196).

Almost surely, 2^3648337056 is an apocalyptic number.

3648337056 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 3648337056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449212224).

3648337056 is an abundant number, since it is smaller than the sum of its proper divisors (9250087392).

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

3648337056 is a wasteful number, since it uses less digits than its factorization.

3648337056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3648337056 is about 60401.4656775810. The cubic root of 3648337056 is about 1539.4478618839.

The spelling of 3648337056 in words is "three billion, six hundred forty-eight million, three hundred thirty-seven thousand, fifty-six".