34866816 has 128 divisors (see below), whose sum is σ = 99878400. Its totient is φ = 10752000.

The previous prime is 34866803. The next prime is 34866823. The reversal of 34866816 is 61866843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345166 + ... + 345266.

It is an arithmetic number, because the mean of its divisors is an integer number (780300).

Almost surely, 2^34866816 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 34866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939200).

34866816 is an abundant number, since it is smaller than the sum of its proper divisors (65011584).

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

34866816 is a wasteful number, since it uses less digits than its factorization.

34866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 166 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 34866816 is about 5904.8129521603. The cubic root of 34866816 is about 326.6911953445.

The spelling of 34866816 in words is "thirty-four million, eight hundred sixty-six thousand, eight hundred sixteen".