34535424 has 192 divisors, whose sum is σ = 116363520. Its totient is φ = 8847360.

The previous prime is 34535363. The next prime is 34535437. The reversal of 34535424 is 42453543.

It is a tau number, because it is divible by the number of its divisors (192).

Its product of digits (28800) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 34535391 and 34535400.

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, 473052 + ... + 473124.

It is an arithmetic number, because the mean of its divisors is an integer number (606060).

Almost surely, 2^34535424 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 34535424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58181760).

34535424 is an abundant number, since it is smaller than the sum of its proper divisors (81828096).

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

34535424 is a wasteful number, since it uses less digits than its factorization.

34535424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 96 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 34535424 is about 5876.6847797036. The cubic root of 34535424 is about 325.6528855814.

Adding to 34535424 its reverse (42453543), we get a palindrome (76988967).

The spelling of 34535424 in words is "thirty-four million, five hundred thirty-five thousand, four hundred twenty-four".