3122893872 has 240 divisors, whose sum is σ = 10765977600. Its totient is φ = 863291520.

The previous prime is 3122893871. The next prime is 3122893909. The reversal of 3122893872 is 2783982213.

It is a super-2 number, since 2×3122893872² = 19504932271550304768, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3122893871) 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 47 ways as a sum of consecutive naturals, for example, 653829 + ... + 658587.

It is an arithmetic number, because the mean of its divisors is an integer number (44858240).

Almost surely, 2^3122893872 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 3122893872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5382988800).

3122893872 is an abundant number, since it is smaller than the sum of its proper divisors (7643083728).

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

3122893872 is a wasteful number, since it uses less digits than its factorization.

3122893872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4821 (or 4802 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3122893872 is about 55882.8584809331. The cubic root of 3122893872 is about 1461.6803496586.

The spelling of 3122893872 in words is "three billion, one hundred twenty-two million, eight hundred ninety-three thousand, eight hundred seventy-two".