3216483648 has 224 divisors, whose sum is σ = 10992307200. Its totient is φ = 903218688.

The previous prime is 3216483637. The next prime is 3216483653. The reversal of 3216483648 is 8463846123.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711411 + ... + 715917.

It is an arithmetic number, because the mean of its divisors is an integer number (49072800).

Almost surely, 2^3216483648 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 3216483648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496153600).

3216483648 is an abundant number, since it is smaller than the sum of its proper divisors (7775823552).

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

3216483648 is a wasteful number, since it uses less digits than its factorization.

3216483648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594 (or 4578 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 3216483648 is about 56714.0515921760. The cubic root of 3216483648 is about 1476.1385288713.

The spelling of 3216483648 in words is "three billion, two hundred sixteen million, four hundred eighty-three thousand, six hundred forty-eight".