34089400 has 24 divisors (see below), whose sum is σ = 79258320. Its totient is φ = 13635680.

The previous prime is 34089383. The next prime is 34089431. The reversal of 34089400 is 498043.

34089400 = T₄₈₁ + T₄₈₂ + ... + T₆₈₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85024 + ... + 85423.

It is an arithmetic number, because the mean of its divisors is an integer number (3302430).

Almost surely, 2^34089400 is an apocalyptic number.

It is an amenable number.

34089400 is an abundant number, since it is smaller than the sum of its proper divisors (45168920).

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

34089400 is a wasteful number, since it uses less digits than its factorization.

34089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170463 (or 170454 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 34089400 is about 5838.6128489565. The cubic root of 34089400 is about 324.2448740696.

The spelling of 34089400 in words is "thirty-four million, eighty-nine thousand, four hundred".