34413040 has 40 divisors (see below), whose sum is σ = 80575200. Its totient is φ = 13668096.

The previous prime is 34413017. The next prime is 34413079. The reversal of 34413040 is 4031443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34412999 and 34413017.

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 7 ways as a sum of consecutive naturals, for example, 10477 + ... + 13363.

It is an arithmetic number, because the mean of its divisors is an integer number (2014380).

Almost surely, 2^34413040 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 34413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40287600).

34413040 is an abundant number, since it is smaller than the sum of its proper divisors (46162160).

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

34413040 is a wasteful number, since it uses less digits than its factorization.

34413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3049 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 34413040 is about 5866.2628648911. The cubic root of 34413040 is about 325.2677556766.

Adding to 34413040 its reverse (4031443), we get a palindrome (38444483).

The spelling of 34413040 in words is "thirty-four million, four hundred thirteen thousand, forty".