3648336360 has 128 divisors (see below), whose sum is σ = 11441295360. Its totient is φ = 928928000.

The previous prime is 3648336359. The next prime is 3648336361. The reversal of 3648336360 is 636338463.

It is an interprime number because it is at equal distance from previous prime (3648336359) and next prime (3648336361).

It is not an unprimeable number, because it can be changed into a prime (3648336361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2513635 + ... + 2515085.

It is an arithmetic number, because the mean of its divisors is an integer number (89385120).

Almost surely, 2^3648336360 is an apocalyptic number.

3648336360 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 3648336360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720647680).

3648336360 is an abundant number, since it is smaller than the sum of its proper divisors (7792959000).

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

3648336360 is a wasteful number, since it uses less digits than its factorization.

3648336360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The square root of 3648336360 is about 60401.4599161312. The cubic root of 3648336360 is about 1539.4477639894.

The spelling of 3648336360 in words is "three billion, six hundred forty-eight million, three hundred thirty-six thousand, three hundred sixty".