3142996128 has 96 divisors (see below), whose sum is σ = 9183888000. Its totient is φ = 1045744128.

The previous prime is 3142996123. The next prime is 3142996187. The reversal of 3142996128 is 8216992413.

3142996128 is a `hidden beast` number, since 3 + 1 + 4 + 29 + 9 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×3142996128³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3142996123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514500 + ... + 520572.

It is an arithmetic number, because the mean of its divisors is an integer number (95665500).

Almost surely, 2^3142996128 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 3142996128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591944000).

3142996128 is an abundant number, since it is smaller than the sum of its proper divisors (6040891872).

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

3142996128 is a wasteful number, since it uses less digits than its factorization.

3142996128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6677 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 3142996128 is about 56062.4306287196. The cubic root of 3142996128 is about 1464.8099522445.

The spelling of 3142996128 in words is "three billion, one hundred forty-two million, nine hundred ninety-six thousand, one hundred twenty-eight".