34816320 has 336 divisors, whose sum is σ = 150254208. Its totient is φ = 7188480.

The previous prime is 34816291. The next prime is 34816337. The reversal of 34816320 is 2361843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×34816320² = 2424352276684800, which contains 22 as substring.

It is a congruent number.

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, 221682 + ... + 221838.

Almost surely, 2^34816320 is an apocalyptic number.

34816320 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 34816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75127104).

34816320 is an abundant number, since it is smaller than the sum of its proper divisors (115437888).

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

34816320 is a wasteful number, since it uses less digits than its factorization.

34816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

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

The square root of 34816320 is about 5900.5355689124. The cubic root of 34816320 is about 326.5334085560.

It can be divided in two parts, 3481 and 6320, that added together give a square (9801 = 99²).

The spelling of 34816320 in words is "thirty-four million, eight hundred sixteen thousand, three hundred twenty".