34434816 has 72 divisors (see below), whose sum is σ = 98725200. Its totient is φ = 10592256.

The previous prime is 34434781. The next prime is 34434863. The reversal of 34434816 is 61843443.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 8260 + ... + 11708.

Almost surely, 2^34434816 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 34434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49362600).

34434816 is an abundant number, since it is smaller than the sum of its proper divisors (64290384).

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

34434816 is a wasteful number, since it uses less digits than its factorization.

34434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3481 (or 3467 counting only the distinct ones).

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

The square root of 34434816 is about 5868.1186082083. The cubic root of 34434816 is about 325.3363492210.

The spelling of 34434816 in words is "thirty-four million, four hundred thirty-four thousand, eight hundred sixteen".