34089984 has 132 divisors (see below), whose sum is σ = 102824904. Its totient is φ = 11280384.

The previous prime is 34089977. The next prime is 34089989. The reversal of 34089984 is 48998043.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34089989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248764 + ... + 248900.

Almost surely, 2^34089984 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 34089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51412452).

34089984 is an abundant number, since it is smaller than the sum of its proper divisors (68734920).

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

34089984 is an equidigital number, since it uses as much as digits as its factorization.

34089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 34089984 is about 5838.6628606214. The cubic root of 34089984 is about 324.2467256512.

The spelling of 34089984 in words is "thirty-four million, eighty-nine thousand, nine hundred eighty-four".