34125312 has 80 divisors (see below), whose sum is σ = 97962480. Its totient is φ = 10493952.

The previous prime is 34125293. The next prime is 34125317. The reversal of 34125312 is 21352143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34125317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19114 + ... + 20822.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^34125312 is an apocalyptic number.

34125312 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 34125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981240).

34125312 is an abundant number, since it is smaller than the sum of its proper divisors (63837168).

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

34125312 is a wasteful number, since it uses less digits than its factorization.

34125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1727 counting only the distinct ones).

The product of its digits is 720, while the sum is 21.

The square root of 34125312 is about 5841.6874274477. The cubic root of 34125312 is about 324.3586943515.

Adding to 34125312 its reverse (21352143), we get a palindrome (55477455).

The spelling of 34125312 in words is "thirty-four million, one hundred twenty-five thousand, three hundred twelve".