3121048224 has 288 divisors, whose sum is σ = 11307703680. Its totient is φ = 794935296.

The previous prime is 3121048223. The next prime is 3121048247. The reversal of 3121048224 is 4228401213.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3121048223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648772 + ... + 653564.

It is an arithmetic number, because the mean of its divisors is an integer number (39262860).

Almost surely, 2^3121048224 is an apocalyptic number.

3121048224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3121048224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653851840).

3121048224 is an abundant number, since it is smaller than the sum of its proper divisors (8186655456).

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

3121048224 is a wasteful number, since it uses less digits than its factorization.

3121048224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4852 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3121048224 is about 55866.3424970706. The cubic root of 3121048224 is about 1461.3923391188.

Adding to 3121048224 its reverse (4228401213), we get a palindrome (7349449437).

The spelling of 3121048224 in words is "three billion, one hundred twenty-one million, forty-eight thousand, two hundred twenty-four".