3104242400 has 144 divisors (see below), whose sum is σ = 8686694016. Its totient is φ = 1061137920.

The previous prime is 3104242231. The next prime is 3104242409. The reversal of 3104242400 is 42424013.

3104242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104242409) 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, 2614607 + ... + 2615793.

It is an arithmetic number, because the mean of its divisors is an integer number (60324264).

Almost surely, 2^3104242400 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 3104242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4343347008).

3104242400 is an abundant number, since it is smaller than the sum of its proper divisors (5582451616).

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

3104242400 is a wasteful number, since it uses less digits than its factorization.

3104242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3104242400 is about 55715.7284794877. The cubic root of 3104242400 is about 1458.7645769723.

Adding to 3104242400 its reverse (42424013), we get a palindrome (3146666413).

The spelling of 3104242400 in words is "three billion, one hundred four million, two hundred forty-two thousand, four hundred".