34005312 has 112 divisors (see below), whose sum is σ = 109118400. Its totient is φ = 10298880.

The previous prime is 34005311. The next prime is 34005317. The reversal of 34005312 is 21350043.

It is a super-2 number, since 2×34005312² = 2312722488434688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005311) 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, 18114 + ... + 19902.

Almost surely, 2^34005312 is an apocalyptic number.

34005312 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 34005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54559200).

34005312 is an abundant number, since it is smaller than the sum of its proper divisors (75113088).

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

34005312 is a wasteful number, since it uses less digits than its factorization.

34005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34005312 is about 5831.4073772975. The cubic root of 34005312 is about 323.9780506393.

Adding to 34005312 its reverse (21350043), we get a palindrome (55355355).

The spelling of 34005312 in words is "thirty-four million, five thousand, three hundred twelve".