3142114560 has 216 divisors, whose sum is σ = 11708207784. Its totient is φ = 773406720.

The previous prime is 3142114543. The next prime is 3142114567. The reversal of 3142114560 is 654112413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52533504 + 3089581056 = 7248^2 + 55584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142114567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139270 + ... + 160250.

Almost surely, 2^3142114560 is an apocalyptic number.

3142114560 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 3142114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854103892).

3142114560 is an abundant number, since it is smaller than the sum of its proper divisors (8566093224).

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

3142114560 is a wasteful number, since it uses less digits than its factorization.

3142114560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21021 (or 21004 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3142114560 is about 56054.5676996978. The cubic root of 3142114560 is about 1464.6729862965.

Adding to 3142114560 its reverse (654112413), we get a palindrome (3796226973).

The spelling of 3142114560 in words is "three billion, one hundred forty-two million, one hundred fourteen thousand, five hundred sixty".