34433712 has 120 divisors (see below), whose sum is σ = 101285184. Its totient is φ = 10910592.

The previous prime is 34433647. The next prime is 34433713. The reversal of 34433712 is 21733443.

It is not an unprimeable number, because it can be changed into a prime (34433713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414823 + ... + 414905.

Almost surely, 2^34433712 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 34433712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50642592).

34433712 is an abundant number, since it is smaller than the sum of its proper divisors (66851472).

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

34433712 is a wasteful number, since it uses less digits than its factorization.

34433712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 34433712 is about 5868.0245398260. The cubic root of 34433712 is about 325.3328723604.

The spelling of 34433712 in words is "thirty-four million, four hundred thirty-three thousand, seven hundred twelve".