3484882368 has 168 divisors, whose sum is σ = 11151144576. Its totient is φ = 1031385600.

The previous prime is 3484882363. The next prime is 3484882369. The reversal of 3484882368 is 8632884843.

3484882368 is a `hidden beast` number, since 3 + 484 + 88 + 23 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484882363) 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 23 ways as a sum of consecutive naturals, for example, 266053 + ... + 278843.

Almost surely, 2^3484882368 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 3484882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575572288).

3484882368 is an abundant number, since it is smaller than the sum of its proper divisors (7666262208).

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

3484882368 is a wasteful number, since it uses less digits than its factorization.

3484882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12863 (or 12850 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The square root of 3484882368 is about 59032.8922550810. The cubic root of 3484882368 is about 1516.1053293660.

The spelling of 3484882368 in words is "three billion, four hundred eighty-four million, eight hundred eighty-two thousand, three hundred sixty-eight".