34623936 has 70 divisors (see below), whose sum is σ = 102651560. Its totient is φ = 11539584.

The previous prime is 34623929. The next prime is 34623949. The reversal of 34623936 is 63932643.

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 34623936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1845 + ... + 8523.

Almost surely, 2^34623936 is an apocalyptic number.

34623936 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 34623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51325780).

34623936 is an abundant number, since it is smaller than the sum of its proper divisors (68027624).

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

34623936 is an equidigital number, since it uses as much as digits as its factorization.

34623936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6684 counting only the distinct ones).

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

The square root of 34623936 is about 5884.2107372187. The cubic root of 34623936 is about 325.9308571542.

The spelling of 34623936 in words is "thirty-four million, six hundred twenty-three thousand, nine hundred thirty-six".