312641280 has 216 divisors, whose sum is σ = 1236554592. Its totient is φ = 71442432.

The previous prime is 312641239. The next prime is 312641291. The reversal of 312641280 is 82146213.

312641280 is a `hidden beast` number, since 3 + 12 + 641 + 2 + 8 + 0 = 666.

312641280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78702 + ... + 82578.

Almost surely, 2^312641280 is an apocalyptic number.

312641280 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 312641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618277296).

312641280 is an abundant number, since it is smaller than the sum of its proper divisors (923913312).

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

312641280 is a wasteful number, since it uses less digits than its factorization.

312641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3911 (or 3894 counting only the distinct ones).

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

The square root of 312641280 is about 17681.6650799635. The cubic root of 312641280 is about 678.7066535203.

Adding to 312641280 its reverse (82146213), we get a palindrome (394787493).

The spelling of 312641280 in words is "three hundred twelve million, six hundred forty-one thousand, two hundred eighty".