3224876004 has 180 divisors, whose sum is σ = 10323981360. Its totient is φ = 872817120.

The previous prime is 3224875991. The next prime is 3224876027. The reversal of 3224876004 is 4006784223.

3224876004 is a `hidden beast` number, since 3 + 2 + 2 + 48 + 7 + 600 + 4 = 666.

3224876004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3224876004.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 296299 + ... + 306989.

It is an arithmetic number, because the mean of its divisors is an integer number (57355452).

Almost surely, 2^3224876004 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 3224876004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161990680).

3224876004 is an abundant number, since it is smaller than the sum of its proper divisors (7099105356).

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

3224876004 is a wasteful number, since it uses less digits than its factorization.

3224876004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10740 (or 10722 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3224876004 is about 56787.9917236030. The cubic root of 3224876004 is about 1477.4212465432.

The spelling of 3224876004 in words is "three billion, two hundred twenty-four million, eight hundred seventy-six thousand, four".