3224516832 has 288 divisors, whose sum is σ = 10144382976. Its totient is φ = 968140800.

The previous prime is 3224516783. The next prime is 3224516843. The reversal of 3224516832 is 2386154223.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

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, 8418913 + ... + 8419295.

It is an arithmetic number, because the mean of its divisors is an integer number (35223552).

Almost surely, 2^3224516832 is an apocalyptic number.

3224516832 is a gapful number since it is divisible by the number (32) 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 3224516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5072191488).

3224516832 is an abundant number, since it is smaller than the sum of its proper divisors (6919866144).

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

3224516832 is a wasteful number, since it uses less digits than its factorization.

3224516832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3224516832 is about 56784.8292416205. The cubic root of 3224516832 is about 1477.3663950238.

It can be divided in two parts, 322 and 4516832, that added together give a palindrome (4517154).

The spelling of 3224516832 in words is "three billion, two hundred twenty-four million, five hundred sixteen thousand, eight hundred thirty-two".