34813664 has 24 divisors (see below), whose sum is σ = 68720400. Its totient is φ = 17360896.

The previous prime is 34813663. The next prime is 34813693. The reversal of 34813664 is 46631843.

It is a super-3 number, since 3×34813664³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34813663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13157 + ... + 15579.

It is an arithmetic number, because the mean of its divisors is an integer number (2863350).

Almost surely, 2^34813664 is an apocalyptic number.

It is an amenable number.

34813664 is a deficient number, since it is larger than the sum of its proper divisors (33906736).

34813664 is a wasteful number, since it uses less digits than its factorization.

34813664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2874 counting only the distinct ones).

The product of its digits is 41472, while the sum is 35.

The square root of 34813664 is about 5900.3105003042. The cubic root of 34813664 is about 326.5251050287.

The spelling of 34813664 in words is "thirty-four million, eight hundred thirteen thousand, six hundred sixty-four".