34041312 has 72 divisors (see below), whose sum is σ = 101916360. Its totient is φ = 10748160.

The previous prime is 34041299. The next prime is 34041313. The reversal of 34041312 is 21314043.

It is a tau number, because it is divible by the number of its divisors (72).

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 (34041313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2362 + ... + 8582.

It is an arithmetic number, because the mean of its divisors is an integer number (1415505).

Almost surely, 2^34041312 is an apocalyptic number.

34041312 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 34041312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50958180).

34041312 is an abundant number, since it is smaller than the sum of its proper divisors (67875048).

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

34041312 is a wasteful number, since it uses less digits than its factorization.

34041312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6256 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34041312 is about 5834.4932941944. The cubic root of 34041312 is about 324.0923376508.

Adding to 34041312 its reverse (21314043), we get a palindrome (55355355).

The spelling of 34041312 in words is "thirty-four million, forty-one thousand, three hundred twelve".