34211424 has 96 divisors (see below), whose sum is σ = 98219520. Its totient is φ = 10363392.

The previous prime is 34211369. The next prime is 34211449. The reversal of 34211424 is 42411243.

It is a tau number, because it is divible by the number of its divisors (96).

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 34211424.

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 15 ways as a sum of consecutive naturals, for example, 98419 + ... + 98765.

It is an arithmetic number, because the mean of its divisors is an integer number (1023120).

Almost surely, 2^34211424 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 34211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49109760).

34211424 is an abundant number, since it is smaller than the sum of its proper divisors (64008096).

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

34211424 is a wasteful number, since it uses less digits than its factorization.

34211424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34211424 is about 5849.0532567245. The cubic root of 34211424 is about 324.6312946907.

Adding to 34211424 its reverse (42411243), we get a palindrome (76622667).

The spelling of 34211424 in words is "thirty-four million, two hundred eleven thousand, four hundred twenty-four".