34459400 has 24 divisors (see below), whose sum is σ = 80118570. Its totient is φ = 13783680.

The previous prime is 34459387. The next prime is 34459409. The reversal of 34459400 is 495443.

It can be written as a sum of positive squares in 3 ways, for example, as 12687844 + 21771556 = 3562^2 + 4666^2 .

It is not an unprimeable number, because it can be changed into a prime (34459409) 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, 85949 + ... + 86348.

Almost surely, 2^34459400 is an apocalyptic number.

It is an amenable number.

34459400 is an abundant number, since it is smaller than the sum of its proper divisors (45659170).

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

34459400 is a wasteful number, since it uses less digits than its factorization.

34459400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172313 (or 172304 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 34459400 is about 5870.2129433267. The cubic root of 34459400 is about 325.4137531119.

The spelling of 34459400 in words is "thirty-four million, four hundred fifty-nine thousand, four hundred".