3022725600 has 504 divisors, whose sum is σ = 11373303312. Its totient is φ = 783820800.

The previous prime is 3022725581. The next prime is 3022725631. The reversal of 3022725600 is 65272203.

3022725600 is a `hidden beast` number, since 30 + 2 + 2 + 7 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 41407164 + ... + 41407236.

It is an arithmetic number, because the mean of its divisors is an integer number (22566078).

Almost surely, 2^3022725600 is an apocalyptic number.

3022725600 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 3022725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5686651656).

3022725600 is an abundant number, since it is smaller than the sum of its proper divisors (8350577712).

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

3022725600 is an equidigital number, since it uses as much as digits as its factorization.

3022725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3022725600 is about 54979.3197484290. The cubic root of 3022725600 is about 1445.8821893998.

Adding to 3022725600 its reverse (65272203), we get a palindrome (3087997803).

The spelling of 3022725600 in words is "three billion, twenty-two million, seven hundred twenty-five thousand, six hundred".