3226417344 has 84 divisors (see below), whose sum is σ = 9281089896. Its totient is φ = 1071618048.

The previous prime is 3226417343. The next prime is 3226417367. The reversal of 3226417344 is 4437146223.

3226417344 is a `hidden beast` number, since 3 + 2 + 2 + 641 + 7 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3226417299 and 3226417308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226417343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153112 + ... + 172904.

Almost surely, 2^3226417344 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 3226417344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640544948).

3226417344 is an abundant number, since it is smaller than the sum of its proper divisors (6054672552).

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

3226417344 is a wasteful number, since it uses less digits than its factorization.

3226417344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20094 (or 20081 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 3226417344 is about 56801.5611053077. The cubic root of 3226417344 is about 1477.6565884869.

The spelling of 3226417344 in words is "three billion, two hundred twenty-six million, four hundred seventeen thousand, three hundred forty-four".