34889712 has 240 divisors, whose sum is σ = 117635328. Its totient is φ = 8785920.

The previous prime is 34889677. The next prime is 34889713. The reversal of 34889712 is 21798843.

34889712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34889713) 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, 1516933 + ... + 1516955.

Almost surely, 2^34889712 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 34889712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58817664).

34889712 is an abundant number, since it is smaller than the sum of its proper divisors (82745616).

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

34889712 is a wasteful number, since it uses less digits than its factorization.

34889712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 69 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 34889712 is about 5906.7513914164. The cubic root of 34889712 is about 326.7626891580.

The spelling of 34889712 in words is "thirty-four million, eight hundred eighty-nine thousand, seven hundred twelve".