34182216 has 64 divisors (see below), whose sum is σ = 99960000. Its totient is φ = 10793088.

The previous prime is 34182199. The next prime is 34182221. The reversal of 34182216 is 61228143.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 34182216.

It is a congruent number.

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, 61 + ... + 8268.

It is an arithmetic number, because the mean of its divisors is an integer number (1561875).

Almost surely, 2^34182216 is an apocalyptic number.

34182216 is a gapful number since it is divisible by the number (36) 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 34182216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49980000).

34182216 is an abundant number, since it is smaller than the sum of its proper divisors (65777784).

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

34182216 is a wasteful number, since it uses less digits than its factorization.

34182216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8353 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 34182216 is about 5846.5559092512. Note that the first 3 decimals coincide. The cubic root of 34182216 is about 324.5388837414.

The spelling of 34182216 in words is "thirty-four million, one hundred eighty-two thousand, two hundred sixteen".