3128397984 has 192 divisors, whose sum is σ = 9475522560. Its totient is φ = 1003104000.

The previous prime is 3128397983. The next prime is 3128398037. The reversal of 3128397984 is 4897938213.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3128397984.

It is not an unprimeable number, because it can be changed into a prime (3128397983) 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, 7258249 + ... + 7258679.

It is an arithmetic number, because the mean of its divisors is an integer number (49351680).

Almost surely, 2^3128397984 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 3128397984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

3128397984 is an abundant number, since it is smaller than the sum of its proper divisors (6347124576).

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

3128397984 is a wasteful number, since it uses less digits than its factorization.

3128397984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 738 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 3128397984 is about 55932.0836729690. The cubic root of 3128397984 is about 1462.5385846493.

The spelling of 3128397984 in words is "three billion, one hundred twenty-eight million, three hundred ninety-seven thousand, nine hundred eighty-four".