3386278224 has 200 divisors, whose sum is σ = 11688716160. Its totient is φ = 925385472.

The previous prime is 3386278193. The next prime is 3386278243. The reversal of 3386278224 is 4228726833.

It is a super-2 number, since 2×3386278224² = 22933760420673188352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3386278224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200542 + ... + 216770.

Almost surely, 2^3386278224 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 3386278224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844358080).

3386278224 is an abundant number, since it is smaller than the sum of its proper divisors (8302437936).

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

3386278224 is a wasteful number, since it uses less digits than its factorization.

3386278224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16279 (or 16264 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3386278224 is about 58191.7367329761. The cubic root of 3386278224 is about 1501.6689902922.

The spelling of 3386278224 in words is "three billion, three hundred eighty-six million, two hundred seventy-eight thousand, two hundred twenty-four".