3142332120 has 128 divisors (see below), whose sum is σ = 9812275200. Its totient is φ = 804066816.

The previous prime is 3142332107. The next prime is 3142332121. The reversal of 3142332120 is 212332413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578457 + ... + 583863.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 2^3142332120 is an apocalyptic number.

3142332120 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 3142332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4906137600).

3142332120 is an abundant number, since it is smaller than the sum of its proper divisors (6669943080).

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

3142332120 is a wasteful number, since it uses less digits than its factorization.

3142332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617 (or 5613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3142332120 is about 56056.5082751325. The cubic root of 3142332120 is about 1464.7067901670.

Adding to 3142332120 its reverse (212332413), we get a palindrome (3354664533).

The spelling of 3142332120 in words is "three billion, one hundred forty-two million, three hundred thirty-two thousand, one hundred twenty".