3020544400 has 60 divisors (see below), whose sum is σ = 7266409300. Its totient is φ = 1206627840.

The previous prime is 3020544367. The next prime is 3020544403. The reversal of 3020544400 is 44450203.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 308634624 + 2711909776 = 17568^2 + 52076^2 .

It is not an unprimeable number, because it can be changed into a prime (3020544403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 327046 + ... + 336154.

Almost surely, 2^3020544400 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 3020544400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633204650).

3020544400 is an abundant number, since it is smaller than the sum of its proper divisors (4245864900).

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

3020544400 is a wasteful number, since it uses less digits than its factorization.

3020544400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9956 (or 9945 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3020544400 is about 54959.4796190794. The cubic root of 3020544400 is about 1445.5343226577.

Adding to 3020544400 its reverse (44450203), we get a palindrome (3064994603).

The spelling of 3020544400 in words is "three billion, twenty million, five hundred forty-four thousand, four hundred".