34314912 has 72 divisors (see below), whose sum is σ = 102735360. Its totient is φ = 10834560.

The previous prime is 34314911. The next prime is 34314937. The reversal of 34314912 is 21941343.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (34314911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2337 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (1426880).

Almost surely, 2^34314912 is an apocalyptic number.

34314912 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 34314912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51367680).

34314912 is an abundant number, since it is smaller than the sum of its proper divisors (68420448).

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

34314912 is a wasteful number, since it uses less digits than its factorization.

34314912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6306 (or 6295 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34314912 is about 5857.8931366149. The cubic root of 34314912 is about 324.9582968186.

The spelling of 34314912 in words is "thirty-four million, three hundred fourteen thousand, nine hundred twelve".