34634424 has 64 divisors (see below), whose sum is σ = 95293440. Its totient is φ = 10402560.

The previous prime is 34634419. The next prime is 34634437. The reversal of 34634424 is 42443643.

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

It is a junction number, because it is equal to n+sod(n) for n = 34634391 and 34634400.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 33012 + ... + 34044.

It is an arithmetic number, because the mean of its divisors is an integer number (1488960).

Almost surely, 2^34634424 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 34634424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47646720).

34634424 is an abundant number, since it is smaller than the sum of its proper divisors (60659016).

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

34634424 is a wasteful number, since it uses less digits than its factorization.

34634424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1176 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 34634424 is about 5885.1018682772. The cubic root of 34634424 is about 325.9637632700.

It can be divided in two parts, 3463 and 4424, that added together give a palindrome (7887).

The spelling of 34634424 in words is "thirty-four million, six hundred thirty-four thousand, four hundred twenty-four".