3022225920 has 360 divisors, whose sum is σ = 12180234924. Its totient is φ = 690536448.

The previous prime is 3022225919. The next prime is 3022225931. The reversal of 3022225920 is 295222203.

3022225920 is a `hidden beast` number, since 30 + 22 + 22 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2574141696 + 448084224 = 50736^2 + 21168^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1127622 + ... + 1130298.

Almost surely, 2^3022225920 is an apocalyptic number.

3022225920 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 3022225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6090117462).

3022225920 is an abundant number, since it is smaller than the sum of its proper divisors (9158009004).

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

3022225920 is a wasteful number, since it uses less digits than its factorization.

3022225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2694 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3022225920 is about 54974.7753064985. The cubic root of 3022225920 is about 1445.8025131603.

It can be divided in two parts, 302 and 2225920, that added together give a palindrome (2226222).

The spelling of 3022225920 in words is "three billion, twenty-two million, two hundred twenty-five thousand, nine hundred twenty".