34354816 has 32 divisors (see below), whose sum is σ = 68788800. Its totient is φ = 17090304.

The previous prime is 34354813. The next prime is 34354819. The reversal of 34354816 is 61845343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34354813) and next prime (34354819).

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (34354813) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30031 + ... + 31153.

It is an arithmetic number, because the mean of its divisors is an integer number (2149650).

Almost surely, 2^34354816 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 34354816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34394400).

34354816 is an abundant number, since it is smaller than the sum of its proper divisors (34433984).

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

34354816 is a wasteful number, since it uses less digits than its factorization.

34354816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 34354816 is about 5861.2981497276. The cubic root of 34354816 is about 325.0842101313.

The spelling of 34354816 in words is "thirty-four million, three hundred fifty-four thousand, eight hundred sixteen".