34413324 has 48 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 10229440.

The previous prime is 34413319. The next prime is 34413329. The reversal of 34413324 is 42331443.

It is an interprime number because it is at equal distance from previous prime (34413319) and next prime (34413329).

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 = 34413294 and 34413303.

It is not an unprimeable number, because it can be changed into a prime (34413329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4537 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (1859760).

Almost surely, 2^34413324 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 34413324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

34413324 is an abundant number, since it is smaller than the sum of its proper divisors (54855156).

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

34413324 is a wasteful number, since it uses less digits than its factorization.

34413324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4990 (or 4988 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 34413324 is about 5866.2870710527. The cubic root of 34413324 is about 325.2686504517.

Adding to 34413324 its reverse (42331443), we get a palindrome (76744767).

The spelling of 34413324 in words is "thirty-four million, four hundred thirteen thousand, three hundred twenty-four".