3122745984 has 192 divisors, whose sum is σ = 9361029600. Its totient is φ = 998000640.

The previous prime is 3122745979. The next prime is 3122746019. The reversal of 3122745984 is 4895472213.

3122745984 is a `hidden beast` number, since 31 + 2 + 27 + 4 + 598 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7048867 + ... + 7049309.

Almost surely, 2^3122745984 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 3122745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4680514800).

3122745984 is an abundant number, since it is smaller than the sum of its proper divisors (6238283616).

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

3122745984 is a wasteful number, since it uses less digits than its factorization.

3122745984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 688 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3122745984 is about 55881.5352688167. The cubic root of 3122745984 is about 1461.6572761458.

The spelling of 3122745984 in words is "three billion, one hundred twenty-two million, seven hundred forty-five thousand, nine hundred eighty-four".