3142078560 has 192 divisors, whose sum is σ = 11079633600. Its totient is φ = 831614976.

The previous prime is 3142078559. The next prime is 3142078579. The reversal of 3142078560 is 658702413.

3142078560 is a `hidden beast` number, since 3 + 1 + 4 + 20 + 78 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589186 + ... + 594494.

It is an arithmetic number, because the mean of its divisors is an integer number (57706425).

Almost surely, 2^3142078560 is an apocalyptic number.

3142078560 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 3142078560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539816800).

3142078560 is an abundant number, since it is smaller than the sum of its proper divisors (7937555040).

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

3142078560 is a wasteful number, since it uses less digits than its factorization.

3142078560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3142078560 is about 56054.2465831091. The cubic root of 3142078560 is about 1464.6673925657.

The spelling of 3142078560 in words is "three billion, one hundred forty-two million, seventy-eight thousand, five hundred sixty".