34263936 has 144 divisors (see below), whose sum is σ = 114884640. Its totient is φ = 9773568.

The previous prime is 34263919. The next prime is 34263941. The reversal of 34263936 is 63936243.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34263936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56145 + ... + 56751.

It is an arithmetic number, because the mean of its divisors is an integer number (797810).

Almost surely, 2^34263936 is an apocalyptic number.

34263936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57442320).

34263936 is an abundant number, since it is smaller than the sum of its proper divisors (80620704).

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

34263936 is a wasteful number, since it uses less digits than its factorization.

34263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 619 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 34263936 is about 5853.5404671019. The cubic root of 34263936 is about 324.7973047735.

The spelling of 34263936 in words is "thirty-four million, two hundred sixty-three thousand, nine hundred thirty-six".