3142601280 has 672 divisors, whose sum is σ = 13912778880. Its totient is φ = 661893120.

The previous prime is 3142601261. The next prime is 3142601321. The reversal of 3142601280 is 821062413.

3142601280 is a `hidden beast` number, since 31 + 4 + 2 + 601 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5503395 + ... + 5503965.

It is an arithmetic number, because the mean of its divisors is an integer number (20703540).

Almost surely, 2^3142601280 is an apocalyptic number.

3142601280 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 3142601280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956389440).

3142601280 is an abundant number, since it is smaller than the sum of its proper divisors (10770177600).

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

3142601280 is a wasteful number, since it uses less digits than its factorization.

3142601280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3142601280 is about 56058.9090154277. The cubic root of 3142601280 is about 1464.7486093434.

Adding to 3142601280 its reverse (821062413), we get a palindrome (3963663693).

The spelling of 3142601280 in words is "three billion, one hundred forty-two million, six hundred one thousand, two hundred eighty".