34039808 has 48 divisors (see below), whose sum is σ = 74299680. Its totient is φ = 15462400.

The previous prime is 34039807. The next prime is 34039813. The reversal of 34039808 is 80893043.

34039808 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (34039801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21773 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 2^34039808 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 34039808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37149840).

34039808 is an abundant number, since it is smaller than the sum of its proper divisors (40259872).

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

34039808 is a wasteful number, since it uses less digits than its factorization.

34039808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 34039808 is about 5834.3644041146. The cubic root of 34039808 is about 324.0875646067.

The spelling of 34039808 in words is "thirty-four million, thirty-nine thousand, eight hundred eight".