3115424000 has 144 divisors (see below), whose sum is σ = 8359019760. Its totient is φ = 1150156800.

The previous prime is 3115423979. The next prime is 3115424009. The reversal of 3115424000 is 4245113.

It can be written as a sum of positive squares in 8 ways, for example, as 1601280256 + 1514143744 = 40016^2 + 38912^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3115424009) 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 15 ways as a sum of consecutive naturals, for example, 412256 + ... + 419744.

Almost surely, 2^3115424000 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 3115424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179509880).

3115424000 is an abundant number, since it is smaller than the sum of its proper divisors (5243595760).

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

3115424000 is an equidigital number, since it uses as much as digits as its factorization.

3115424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7533 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3115424000 is about 55815.9833739405. The cubic root of 3115424000 is about 1460.5139867932.

Adding to 3115424000 its reverse (4245113), we get a palindrome (3119669113).

The spelling of 3115424000 in words is "three billion, one hundred fifteen million, four hundred twenty-four thousand".