3648393216 has 312 divisors, whose sum is σ = 11878391616. Its totient is φ = 1070530560.

The previous prime is 3648393211. The next prime is 3648393223. The reversal of 3648393216 is 6123938463.

3648393216 is a `hidden beast` number, since 3 + 6 + 48 + 393 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3648393211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11022171 + ... + 11022501.

It is an arithmetic number, because the mean of its divisors is an integer number (38071768).

Almost surely, 2^3648393216 is an apocalyptic number.

3648393216 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 3648393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939195808).

3648393216 is an abundant number, since it is smaller than the sum of its proper divisors (8229998400).

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

3648393216 is a wasteful number, since it uses less digits than its factorization.

3648393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 372 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 3648393216 is about 60401.9305651732. The cubic root of 3648393216 is about 1539.4557609117.

The spelling of 3648393216 in words is "three billion, six hundred forty-eight million, three hundred ninety-three thousand, two hundred sixteen".