3122590240 has 192 divisors, whose sum is σ = 9252569088. Its totient is φ = 967449600.

The previous prime is 3122590223. The next prime is 3122590279. The reversal of 3122590240 is 420952213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3122590199 and 3122590208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352457 + ... + 2353783.

It is an arithmetic number, because the mean of its divisors is an integer number (48190464).

Almost surely, 2^3122590240 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 3122590240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626284544).

3122590240 is an abundant number, since it is smaller than the sum of its proper divisors (6129978848).

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

3122590240 is a wasteful number, since it uses less digits than its factorization.

3122590240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 3122590240 is about 55880.1417321037. The cubic root of 3122590240 is about 1461.6329761508.

The spelling of 3122590240 in words is "three billion, one hundred twenty-two million, five hundred ninety thousand, two hundred forty".