34085436 has 96 divisors (see below), whose sum is σ = 101939712. Its totient is φ = 8605440.

The previous prime is 34085417. The next prime is 34085437. The reversal of 34085436 is 63458043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 34085397 and 34085406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34085437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33690 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (1061872).

Almost surely, 2^34085436 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 34085436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50969856).

34085436 is an abundant number, since it is smaller than the sum of its proper divisors (67854276).

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

34085436 is a wasteful number, since it uses less digits than its factorization.

34085436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 34085436 is about 5838.2733748943. The cubic root of 34085436 is about 324.2323055829.

The spelling of 34085436 in words is "thirty-four million, eighty-five thousand, four hundred thirty-six".