3020224400 has 60 divisors (see below), whose sum is σ = 7283322900. Its totient is φ = 1203555840.

The previous prime is 3020224391. The next prime is 3020224421. The reversal of 3020224400 is 44220203.

It can be written as a sum of positive squares in 6 ways, for example, as 1005650944 + 2014573456 = 31712^2 + 44884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93566 + ... + 121634.

It is an arithmetic number, because the mean of its divisors is an integer number (121388715).

Almost surely, 2^3020224400 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 3020224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3641661450).

3020224400 is an abundant number, since it is smaller than the sum of its proper divisors (4263098500).

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

3020224400 is a wasteful number, since it uses less digits than its factorization.

3020224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28356 (or 28345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3020224400 is about 54956.5683062543. The cubic root of 3020224400 is about 1445.4832736570.

Adding to 3020224400 its reverse (44220203), we get a palindrome (3064444603).

The spelling of 3020224400 in words is "three billion, twenty million, two hundred twenty-four thousand, four hundred".