3128960016 has 400 divisors, whose sum is σ = 11423685504. Its totient is φ = 804722688.

The previous prime is 3128959969. The next prime is 3128960027. The reversal of 3128960016 is 6100698213.

3128960016 is a `hidden beast` number, since 31 + 2 + 8 + 9 + 600 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5070940 + ... + 5071556.

Almost surely, 2^3128960016 is an apocalyptic number.

3128960016 is a gapful number since it is divisible by the number (36) 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 3128960016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711842752).

3128960016 is an abundant number, since it is smaller than the sum of its proper divisors (8294725488).

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

3128960016 is a wasteful number, since it uses less digits than its factorization.

3128960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3128960016 is about 55937.1076835404. The cubic root of 3128960016 is about 1462.6261634751.

The spelling of 3128960016 in words is "three billion, one hundred twenty-eight million, nine hundred sixty thousand, sixteen".