34845408 has 144 divisors (see below), whose sum is σ = 109798416. Its totient is φ = 10414080.

The previous prime is 34845403. The next prime is 34845413. The reversal of 34845408 is 80454843.

34845408 is a `hidden beast` number, since 34 + 84 + 540 + 8 = 666.

It is a Cunningham number, because it is equal to 5903²-1.

It is an interprime number because it is at equal distance from previous prime (34845403) and next prime (34845413).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34845403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 153391 + ... + 153617.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^34845408 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 34845408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

34845408 is an abundant number, since it is smaller than the sum of its proper divisors (74953008).

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

34845408 is a wasteful number, since it uses less digits than its factorization.

34845408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 34845408 is about 5902.9999152973. Note that the first 4 decimals coincide. The cubic root of 34845408 is about 326.6243195604.

It can be divided in two parts, 34845 and 408, that added together give a palindrome (35253).

The spelling of 34845408 in words is "thirty-four million, eight hundred forty-five thousand, four hundred eight".