3224661120 has 192 divisors, whose sum is σ = 11289166200. Its totient is φ = 848019456.

The previous prime is 3224661103. The next prime is 3224661127. The reversal of 3224661120 is 211664223.

3224661120 is a `hidden beast` number, since 3 + 2 + 2 + 46 + 611 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3151250496 + 73410624 = 56136^2 + 8568^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3224661127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416646 + ... + 424314.

Almost surely, 2^3224661120 is an apocalyptic number.

3224661120 is a gapful number since it is divisible by the number (30) 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 3224661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644583100).

3224661120 is an abundant number, since it is smaller than the sum of its proper divisors (8064505080).

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

3224661120 is a wasteful number, since it uses less digits than its factorization.

3224661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3224661120 is about 56786.0997075869. The cubic root of 3224661120 is about 1477.3884306831.

The spelling of 3224661120 in words is "three billion, two hundred twenty-four million, six hundred sixty-one thousand, one hundred twenty".