34386864 has 80 divisors (see below), whose sum is σ = 92431584. Its totient is φ = 11008000.

The previous prime is 34386853. The next prime is 34386871. The reversal of 34386864 is 46868343.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 198682 + ... + 198854.

Almost surely, 2^34386864 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 34386864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46215792).

34386864 is an abundant number, since it is smaller than the sum of its proper divisors (58044720).

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

34386864 is a wasteful number, since it uses less digits than its factorization.

34386864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 34386864 is about 5864.0313778151. The cubic root of 34386864 is about 325.1852639967.

The spelling of 34386864 in words is "thirty-four million, three hundred eighty-six thousand, eight hundred sixty-four".