34785000 has 120 divisors (see below), whose sum is σ = 117876330. Its totient is φ = 9264000.

The previous prime is 34784989. The next prime is 34785017. The reversal of 34785000 is 58743.

It can be written as a sum of positive squares in 5 ways, for example, as 842724 + 33942276 = 918^2 + 5826^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 44614 + ... + 45386.

Almost surely, 2^34785000 is an apocalyptic number.

34785000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34785000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58938165).

34785000 is an abundant number, since it is smaller than the sum of its proper divisors (83091330).

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

34785000 is a wasteful number, since it uses less digits than its factorization.

34785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 34785000 is about 5897.8809754012. The cubic root of 34785000 is about 326.4354650766.

The spelling of 34785000 in words is "thirty-four million, seven hundred eighty-five thousand".