34072812 has 60 divisors (see below), whose sum is σ = 90025936. Its totient is φ = 11236320.

The previous prime is 34072807. The next prime is 34072817. The reversal of 34072812 is 21827043.

34072812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34072807) and next prime (34072817).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34072817) 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 19 ways as a sum of consecutive naturals, for example, 32862 + ... + 33882.

Almost surely, 2^34072812 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 34072812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45012968).

34072812 is an abundant number, since it is smaller than the sum of its proper divisors (55953124).

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

34072812 is a wasteful number, since it uses less digits than its factorization.

34072812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 34072812 is about 5837.1921332093. The cubic root of 34072812 is about 324.1922727075.

Adding to 34072812 its reverse (21827043), we get a palindrome (55899855).

The spelling of 34072812 in words is "thirty-four million, seventy-two thousand, eight hundred twelve".