34816353 has 16 divisors (see below), whose sum is σ = 54538176. Its totient is φ = 19477440.

The previous prime is 34816351. The next prime is 34816363. The reversal of 34816353 is 35361843.

It is not a de Polignac number, because 34816353 - 2¹ = 34816351 is a prime.

It is a super-3 number, since 3×34816353³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34816351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40150 + ... + 41007.

It is an arithmetic number, because the mean of its divisors is an integer number (3408636).

Almost surely, 2^34816353 is an apocalyptic number.

34816353 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34816353 is a deficient number, since it is larger than the sum of its proper divisors (19721823).

34816353 is a wasteful number, since it uses less digits than its factorization.

34816353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81184.

The product of its digits is 25920, while the sum is 33.

The square root of 34816353 is about 5900.5383652680. The cubic root of 34816353 is about 326.5335117222.

Subtracting 34816353 from its reverse (35361843), we obtain a triangular number (545490 = T₁₀₄₄).

The spelling of 34816353 in words is "thirty-four million, eight hundred sixteen thousand, three hundred fifty-three".