34879936 has 112 divisors (see below), whose sum is σ = 87562944. Its totient is φ = 13418496.

The previous prime is 34879931. The next prime is 34879951. The reversal of 34879936 is 63997843.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 34879936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34879931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308616 + ... + 308728.

It is an arithmetic number, because the mean of its divisors is an integer number (781812).

Almost surely, 2^34879936 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 34879936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781472).

34879936 is an abundant number, since it is smaller than the sum of its proper divisors (52683008).

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

34879936 is a wasteful number, since it uses less digits than its factorization.

34879936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

The square root of 34879936 is about 5905.9238058072. The cubic root of 34879936 is about 326.7321669757.

The spelling of 34879936 in words is "thirty-four million, eight hundred seventy-nine thousand, nine hundred thirty-six".