34436072 has 32 divisors (see below), whose sum is σ = 71081280. Its totient is φ = 15509760.

The previous prime is 34436063. The next prime is 34436081. The reversal of 34436072 is 27063443.

It is a happy number.

34436072 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 (34436063) and next prime (34436081).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8213 + ... + 11675.

It is an arithmetic number, because the mean of its divisors is an integer number (2221290).

Almost surely, 2^34436072 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 34436072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35540640).

34436072 is an abundant number, since it is smaller than the sum of its proper divisors (36645208).

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

34436072 is a wasteful number, since it uses less digits than its factorization.

34436072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3593 (or 3589 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 34436072 is about 5868.2256262008. The cubic root of 34436072 is about 325.3403046895.

The spelling of 34436072 in words is "thirty-four million, four hundred thirty-six thousand, seventy-two".