3142865952 has 144 divisors (see below), whose sum is σ = 9321661440. Its totient is φ = 1003193856.

The previous prime is 3142865917. The next prime is 3142865977. The reversal of 3142865952 is 2595682413.

3142865952 is a `hidden beast` number, since 31 + 4 + 28 + 6 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3142865898 and 3142865907.

It is an unprimeable number.

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, 1059223 + ... + 1062185.

It is an arithmetic number, because the mean of its divisors is an integer number (64733760).

Almost surely, 2^3142865952 is an apocalyptic number.

3142865952 is a gapful number since it is divisible by the number (32) 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 3142865952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660830720).

3142865952 is an abundant number, since it is smaller than the sum of its proper divisors (6178795488).

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

3142865952 is a wasteful number, since it uses less digits than its factorization.

3142865952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3124 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 3142865952 is about 56061.2696252948. The cubic root of 3142865952 is about 1464.7897288944.

The spelling of 3142865952 in words is "three billion, one hundred forty-two million, eight hundred sixty-five thousand, nine hundred fifty-two".