3128117760 has 240 divisors, whose sum is σ = 11306490624. Its totient is φ = 797761536.

The previous prime is 3128117753. The next prime is 3128117761. The reversal of 3128117760 is 677118213.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3128117761) 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 23 ways as a sum of consecutive naturals, for example, 526969 + ... + 532871.

Almost surely, 2^3128117760 is an apocalyptic number.

3128117760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3128117760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653245312).

3128117760 is an abundant number, since it is smaller than the sum of its proper divisors (8178372864).

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

3128117760 is a wasteful number, since it uses less digits than its factorization.

3128117760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 3128117760 is about 55929.5785787807. The cubic root of 3128117760 is about 1462.4949147314.

The spelling of 3128117760 in words is "three billion, one hundred twenty-eight million, one hundred seventeen thousand, seven hundred sixty".