34500312 has 192 divisors, whose sum is σ = 119808000. Its totient is φ = 8890560.

The previous prime is 34500307. The next prime is 34500313. The reversal of 34500312 is 21300543.

34500312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (34500313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271593 + ... + 271719.

It is an arithmetic number, because the mean of its divisors is an integer number (624000).

Almost surely, 2^34500312 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 34500312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59904000).

34500312 is an abundant number, since it is smaller than the sum of its proper divisors (85307688).

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

34500312 is a wasteful number, since it uses less digits than its factorization.

34500312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

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

The square root of 34500312 is about 5873.6966213791. The cubic root of 34500312 is about 325.5424849159.

Adding to 34500312 its reverse (21300543), we get a palindrome (55800855).

The spelling of 34500312 in words is "thirty-four million, five hundred thousand, three hundred twelve".