34383312 has 160 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 10523520.

The previous prime is 34383289. The next prime is 34383313. The reversal of 34383312 is 21338343.

34383312 is a `hidden beast` number, since 343 + 8 + 3 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34383313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484237 + ... + 484307.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 2^34383312 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 34383312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

34383312 is an abundant number, since it is smaller than the sum of its proper divisors (72752688).

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

34383312 is a wasteful number, since it uses less digits than its factorization.

34383312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 34383312 is about 5863.7285066756. The cubic root of 34383312 is about 325.1740669126.

The spelling of 34383312 in words is "thirty-four million, three hundred eighty-three thousand, three hundred twelve".