312034680 has 160 divisors (see below), whose sum is σ = 1056330000. Its totient is φ = 82612224.

The previous prime is 312034669. The next prime is 312034717. The reversal of 312034680 is 86430213.

It is a happy number.

312034680 is a `hidden beast` number, since 312 + 0 + 346 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 625071 + ... + 625569.

Almost surely, 2^312034680 is an apocalyptic number.

312034680 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 312034680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528165000).

312034680 is an abundant number, since it is smaller than the sum of its proper divisors (744295320).

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

312034680 is a wasteful number, since it uses less digits than its factorization.

312034680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 312034680 is about 17664.5033895663. The cubic root of 312034680 is about 678.2674174181.

Adding to 312034680 its reverse (86430213), we get a palindrome (398464893).

The spelling of 312034680 in words is "three hundred twelve million, thirty-four thousand, six hundred eighty".