34008984 has 80 divisors (see below), whose sum is σ = 98387520. Its totient is φ = 10964160.

The previous prime is 34008979. The next prime is 34009009. The reversal of 34008984 is 48980043.

34008984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34008984² = 2313221985424512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19242 + ... + 20934.

It is an arithmetic number, because the mean of its divisors is an integer number (1229844).

Almost surely, 2^34008984 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 34008984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49193760).

34008984 is an abundant number, since it is smaller than the sum of its proper divisors (64378536).

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

34008984 is a wasteful number, since it uses less digits than its factorization.

34008984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 34008984 is about 5831.7222156066. The cubic root of 34008984 is about 323.9897116075.

The spelling of 34008984 in words is "thirty-four million, eight thousand, nine hundred eighty-four".