34308384 has 96 divisors (see below), whose sum is σ = 100263744. Its totient is φ = 10183680.

The previous prime is 34308383. The next prime is 34308409. The reversal of 34308384 is 48380343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34308383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55662 + ... + 56274.

It is an arithmetic number, because the mean of its divisors is an integer number (1044414).

Almost surely, 2^34308384 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 34308384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50131872).

34308384 is an abundant number, since it is smaller than the sum of its proper divisors (65955360).

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

34308384 is a wasteful number, since it uses less digits than its factorization.

34308384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 34308384 is about 5857.3359131947. The cubic root of 34308384 is about 324.9376890403.

The spelling of 34308384 in words is "thirty-four million, three hundred eight thousand, three hundred eighty-four".