34689384 has 160 divisors (see below), whose sum is σ = 106634880. Its totient is φ = 10492416.

The previous prime is 34689353. The next prime is 34689409. The reversal of 34689384 is 48398643.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 517719 + ... + 517785.

It is an arithmetic number, because the mean of its divisors is an integer number (666468).

Almost surely, 2^34689384 is an apocalyptic number.

34689384 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34689384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53317440).

34689384 is an abundant number, since it is smaller than the sum of its proper divisors (71945496).

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

34689384 is a wasteful number, since it uses less digits than its factorization.

34689384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 136 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 34689384 is about 5889.7694352156. The cubic root of 34689384 is about 326.1360918237.

The spelling of 34689384 in words is "thirty-four million, six hundred eighty-nine thousand, three hundred eighty-four".