34383384 has 96 divisors (see below), whose sum is σ = 112713120. Its totient is φ = 9243648.

The previous prime is 34383373. The next prime is 34383409. The reversal of 34383384 is 48338343.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 6562 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (1174095).

Almost surely, 2^34383384 is an apocalyptic number.

34383384 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 34383384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56356560).

34383384 is an abundant number, since it is smaller than the sum of its proper divisors (78329736).

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

34383384 is a wasteful number, since it uses less digits than its factorization.

34383384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4049 (or 4042 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34383384 is about 5863.7346461108. The cubic root of 34383384 is about 325.1742938881.

The spelling of 34383384 in words is "thirty-four million, three hundred eighty-three thousand, three hundred eighty-four".