34386112 has 56 divisors (see below), whose sum is σ = 71688960. Its totient is φ = 16343040.

The previous prime is 34386101. The next prime is 34386113. The reversal of 34386112 is 21168343.

It is not an unprimeable number, because it can be changed into a prime (34386113) 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, 179937 + ... + 180127.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^34386112 is an apocalyptic number.

34386112 is a gapful number since it is divisible by the number (32) 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 34386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35844480).

34386112 is an abundant number, since it is smaller than the sum of its proper divisors (37302848).

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

34386112 is a wasteful number, since it uses less digits than its factorization.

34386112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 319 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 34386112 is about 5863.9672577531. The cubic root of 34386112 is about 325.1828935072.

It can be divided in two parts, 3438 and 6112, that multiplied together give a square (21013056 = 4584²).

The spelling of 34386112 in words is "thirty-four million, three hundred eighty-six thousand, one hundred twelve".