3456813184 has 192 divisors, whose sum is σ = 8448904800. Its totient is φ = 1398988800.

The previous prime is 3456813163. The next prime is 3456813187. The reversal of 3456813184 is 4813186543.

It is a self number, because there is not a number n which added to its sum of digits gives 3456813184.

It is not an unprimeable number, because it can be changed into a prime (3456813187) 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, 5002279 + ... + 5002969.

Almost surely, 2^3456813184 is an apocalyptic number.

3456813184 is a gapful number since it is divisible by the number (34) 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 3456813184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4224452400).

3456813184 is an abundant number, since it is smaller than the sum of its proper divisors (4992091616).

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

3456813184 is a wasteful number, since it uses less digits than its factorization.

3456813184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 740 counting only the distinct ones).

The product of its digits is 276480, while the sum is 43.

The square root of 3456813184 is about 58794.6696903724. The cubic root of 3456813184 is about 1512.0238324771.

The spelling of 3456813184 in words is "three billion, four hundred fifty-six million, eight hundred thirteen thousand, one hundred eighty-four".