3153343648 has 216 divisors, whose sum is σ = 8063849052. Its totient is φ = 1203019776.

The previous prime is 3153343619. The next prime is 3153343649. The reversal of 3153343648 is 8463433513.

3153343648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1368112144 + 1785231504 = 36988^2 + 42252^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3153343648.

It is not an unprimeable number, because it can be changed into a prime (3153343649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27905640 + ... + 27905752.

Almost surely, 2^3153343648 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 3153343648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031924526).

3153343648 is an abundant number, since it is smaller than the sum of its proper divisors (4910505404).

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

3153343648 is a wasteful number, since it uses less digits than its factorization.

3153343648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 172 counting only the distinct ones).

The product of its digits is 311040, while the sum is 40.

The square root of 3153343648 is about 56154.6404850036. The cubic root of 3153343648 is about 1466.4156968188.

The spelling of 3153343648 in words is "three billion, one hundred fifty-three million, three hundred forty-three thousand, six hundred forty-eight".