3224168064 has 320 divisors, whose sum is σ = 10885644000. Its totient is φ = 939091968.

The previous prime is 3224168063. The next prime is 3224168069. The reversal of 3224168064 is 4608614223.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3224168063) 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 39 ways as a sum of consecutive naturals, for example, 2560267 + ... + 2561525.

Almost surely, 2^3224168064 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 3224168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442822000).

3224168064 is an abundant number, since it is smaller than the sum of its proper divisors (7661475936).

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

3224168064 is a wasteful number, since it uses less digits than its factorization.

3224168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3224168064 is about 56781.7581975056. The cubic root of 3224168064 is about 1477.3131284697.

The spelling of 3224168064 in words is "three billion, two hundred twenty-four million, one hundred sixty-eight thousand, sixty-four".