34684832 has 96 divisors (see below), whose sum is σ = 86308992. Its totient is φ = 13353984.

The previous prime is 34684831. The next prime is 34684847. The reversal of 34684832 is 23848643.

It is not an unprimeable number, because it can be changed into a prime (34684831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125078 + ... + 125354.

It is an arithmetic number, because the mean of its divisors is an integer number (899052).

Almost surely, 2^34684832 is an apocalyptic number.

34684832 is a gapful number since it is divisible by the number (32) 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 34684832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43154496).

34684832 is an abundant number, since it is smaller than the sum of its proper divisors (51624160).

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

34684832 is a wasteful number, since it uses less digits than its factorization.

34684832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 34684832 is about 5889.3829897537. The cubic root of 34684832 is about 326.1218258220.

The spelling of 34684832 in words is "thirty-four million, six hundred eighty-four thousand, eight hundred thirty-two".