3024234400 has 144 divisors (see below), whose sum is σ = 8089357248. Its totient is φ = 1094912000.

The previous prime is 3024234379. The next prime is 3024234401. The reversal of 3024234400 is 44324203.

It is a super-2 number, since 2×3024234400² = 18291987412286720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (3024234401) 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, 2472189 + ... + 2473411.

It is an arithmetic number, because the mean of its divisors is an integer number (56176092).

Almost surely, 2^3024234400 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 3024234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4044678624).

3024234400 is an abundant number, since it is smaller than the sum of its proper divisors (5065122848).

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

3024234400 is a wasteful number, since it uses less digits than its factorization.

3024234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 3024234400 is about 54993.0395595661. The cubic root of 3024234400 is about 1446.1227211209.

Adding to 3024234400 its reverse (44324203), we get a palindrome (3068558603).

The spelling of 3024234400 in words is "three billion, twenty-four million, two hundred thirty-four thousand, four hundred".