3122048320 has 224 divisors, whose sum is σ = 8000487936. Its totient is φ = 1158758400.

The previous prime is 3122048311. The next prime is 3122048329. The reversal of 3122048320 is 238402213.

It is an interprime number because it is at equal distance from previous prime (3122048311) and next prime (3122048329).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122048329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37614999 + ... + 37615081.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 2^3122048320 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 3122048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000243968).

3122048320 is an abundant number, since it is smaller than the sum of its proper divisors (4878439616).

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

3122048320 is a wasteful number, since it uses less digits than its factorization.

3122048320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3122048320 is about 55875.2925719410. The cubic root of 3122048320 is about 1461.5484166550.

The spelling of 3122048320 in words is "three billion, one hundred twenty-two million, forty-eight thousand, three hundred twenty".