3432268224 has 336 divisors, whose sum is σ = 12914254080. Its totient is φ = 844369920.

The previous prime is 3432268223. The next prime is 3432268247. The reversal of 3432268224 is 4228622343.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×3432268224² = 23560930322960228352, which contains 22 as substring.

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

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 (3432268223) 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 47 ways as a sum of consecutive naturals, for example, 840652 + ... + 844724.

It is an arithmetic number, because the mean of its divisors is an integer number (38435280).

Almost surely, 2^3432268224 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 3432268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457127040).

3432268224 is an abundant number, since it is smaller than the sum of its proper divisors (9481985856).

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

3432268224 is a wasteful number, since it uses less digits than its factorization.

3432268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4115 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 3432268224 is about 58585.5632728747. The cubic root of 3432268224 is about 1508.4366410959.

The spelling of 3432268224 in words is "three billion, four hundred thirty-two million, two hundred sixty-eight thousand, two hundred twenty-four".