34312320 has 384 divisors, whose sum is σ = 145117440. Its totient is φ = 7299072.

The previous prime is 34312277. The next prime is 34312349. The reversal of 34312320 is 2321343.

34312320 is a `hidden beast` number, since 3 + 431 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34312293 and 34312302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927342 + ... + 927378.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 2^34312320 is an apocalyptic number.

34312320 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 34312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

34312320 is an abundant number, since it is smaller than the sum of its proper divisors (110805120).

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

34312320 is a wasteful number, since it uses less digits than its factorization.

34312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 34312320 is about 5857.6718924842. The cubic root of 34312320 is about 324.9501146313.

Adding to 34312320 its reverse (2321343), we get a palindrome (36633663).

The spelling of 34312320 in words is "thirty-four million, three hundred twelve thousand, three hundred twenty".