678344436 has 288 divisors, whose sum is σ = 2292111360. Its totient is φ = 171460800.

The previous prime is 678344413. The next prime is 678344453. The reversal of 678344436 is 634443876.

It is a junction number, because it is equal to n+sod(n) for n = 678344391 and 678344400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2502981 + ... + 2503251.

It is an arithmetic number, because the mean of its divisors is an integer number (7958720).

Almost surely, 2^678344436 is an apocalyptic number.

678344436 is a gapful number since it is divisible by the number (66) 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 678344436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146055680).

678344436 is an abundant number, since it is smaller than the sum of its proper divisors (1613766924).

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

678344436 is a wasteful number, since it uses less digits than its factorization.

678344436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 337 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 678344436 is about 26045.0462852344. The cubic root of 678344436 is about 878.6517041972.

The spelling of 678344436 in words is "six hundred seventy-eight million, three hundred forty-four thousand, four hundred thirty-six".