34008400 has 30 divisors (see below), whose sum is σ = 81706142. Its totient is φ = 13603200.

The previous prime is 34008391. The next prime is 34008407. The reversal of 34008400 is 480043.

It can be written as a sum of positive squares in 3 ways, for example, as 1106704 + 32901696 = 1052^2 + 5736^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34008407) 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 5 ways as a sum of consecutive naturals, for example, 42111 + ... + 42910.

Almost surely, 2^34008400 is an apocalyptic number.

It is an amenable number.

34008400 is an abundant number, since it is smaller than the sum of its proper divisors (47697742).

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

34008400 is a wasteful number, since it uses less digits than its factorization.

34008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85039 (or 85028 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34008400 is about 5831.6721444196. The cubic root of 34008400 is about 323.9878570870.

Adding to 34008400 its reverse (480043), we get a palindrome (34488443).

The spelling of 34008400 in words is "thirty-four million, eight thousand, four hundred".