34386816 has 64 divisors (see below), whose sum is σ = 92106000. Its totient is φ = 11366400.

The previous prime is 34386811. The next prime is 34386829. The reversal of 34386816 is 61868343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34386816² = 2364906229235712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34386811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56916 + ... + 57516.

Almost surely, 2^34386816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34386816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46053000).

34386816 is an abundant number, since it is smaller than the sum of its proper divisors (57719184).

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

34386816 is a wasteful number, since it uses less digits than its factorization.

34386816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 755 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 34386816 is about 5864.0272850661. The cubic root of 34386816 is about 325.1851126899.

The spelling of 34386816 in words is "thirty-four million, three hundred eighty-six thousand, eight hundred sixteen".