34217424 has 80 divisors (see below), whose sum is σ = 99299200. Its totient is φ = 11280384.

The previous prime is 34217371. The next prime is 34217431. The reversal of 34217424 is 42471243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44112 + ... + 44880.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^34217424 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 34217424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49649600).

34217424 is an abundant number, since it is smaller than the sum of its proper divisors (65081776).

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

34217424 is a wasteful number, since it uses less digits than its factorization.

34217424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 877 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 34217424 is about 5849.5661377576. The cubic root of 34217424 is about 324.6502715283.

Adding to 34217424 its reverse (42471243), we get a palindrome (76688667).

It can be divided in two parts, 342 and 17424, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 34217424 in words is "thirty-four million, two hundred seventeen thousand, four hundred twenty-four".