34805408 has 72 divisors (see below), whose sum is σ = 76919220. Its totient is φ = 15488000.

The previous prime is 34805401. The next prime is 34805411. The reversal of 34805408 is 80450843.

It can be written as a sum of positive squares in 2 ways, for example, as 34245904 + 559504 = 5852^2 + 748^2 .

It is a super-2 number, since 2×34805408² = 2422832852092928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34805401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 344558 + ... + 344658.

Almost surely, 2^34805408 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 34805408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38459610).

34805408 is an abundant number, since it is smaller than the sum of its proper divisors (42113812).

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

34805408 is a wasteful number, since it uses less digits than its factorization.

34805408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 34805408 is about 5899.6108346229. The cubic root of 34805408 is about 326.4992913674.

It can be divided in two parts, 3480 and 5408, that added together give a palindrome (8888).

The spelling of 34805408 in words is "thirty-four million, eight hundred five thousand, four hundred eight".