34059312 has 120 divisors (see below), whose sum is σ = 113794800. Its totient is φ = 9725184.

The previous prime is 34059301. The next prime is 34059317. The reversal of 34059312 is 21395043.

34059312 is a `hidden beast` number, since 340 + 5 + 9 + 312 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34059317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20364 + ... + 21972.

It is an arithmetic number, because the mean of its divisors is an integer number (948290).

Almost surely, 2^34059312 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 34059312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56897400).

34059312 is an abundant number, since it is smaller than the sum of its proper divisors (79735488).

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

34059312 is a wasteful number, since it uses less digits than its factorization.

34059312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 34059312 is about 5836.0356407411. The cubic root of 34059312 is about 324.1494509427.

The spelling of 34059312 in words is "thirty-four million, fifty-nine thousand, three hundred twelve".