34539920 has 80 divisors (see below), whose sum is σ = 86177520. Its totient is φ = 12828672.

The previous prime is 34539913. The next prime is 34539943. The reversal of 34539920 is 2993543.

It can be written as a sum of positive squares in 8 ways, for example, as 12544 + 34527376 = 112^2 + 5876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148124 + ... + 148356.

It is an arithmetic number, because the mean of its divisors is an integer number (1077219).

Almost surely, 2^34539920 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 34539920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43088760).

34539920 is an abundant number, since it is smaller than the sum of its proper divisors (51637600).

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

34539920 is a wasteful number, since it uses less digits than its factorization.

34539920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 34539920 is about 5877.0672958543. The cubic root of 34539920 is about 325.6670166935.

The spelling of 34539920 in words is "thirty-four million, five hundred thirty-nine thousand, nine hundred twenty".