34908384 has 144 divisors (see below), whose sum is σ = 109798416. Its totient is φ = 9676800.

The previous prime is 34908383. The next prime is 34908413. The reversal of 34908384 is 48380943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34908383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192774 + ... + 192954.

It is an arithmetic number, because the mean of its divisors is an integer number (762489).

Almost surely, 2^34908384 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 34908384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54899208).

34908384 is an abundant number, since it is smaller than the sum of its proper divisors (74890032).

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

34908384 is a wasteful number, since it uses less digits than its factorization.

34908384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 34908384 is about 5908.3317442405. The cubic root of 34908384 is about 326.8209701860.

The spelling of 34908384 in words is "thirty-four million, nine hundred eight thousand, three hundred eighty-four".